In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.

Population Number Who Will Vote for Politician Sample Size

Below 40 348 700
Above 40 290 650

Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.

Answers

Answer 1

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀


Related Questions

there's 20 points for both problems if you could please solve this

Answers

1 is 36. There are 360 in a circle, so 10x36=360.
2 is 45. 45x8 is 360.

look at pic 10 pts will mark brainilest

Answers

Answer:

A- point A

Step-by-step explanation:

Absolute value doesnt care about the sign so a negative is a positive.

PLease Brainliest

A. Determine if the given figure is a polygon or not. Write P if it is a polygon
and NP if it is not.

Answers

Polygon: "a plane figure with at least three straight sides and angles, and typically five or more."

1. P

2. NP

3. P

4. NP

5. P

"A planar polygon is convex if it contains all the line segments connecting any pair of its points."

1. C

2. NC

3. NC

4. C

5. NC

A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?

A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees

Answers

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

What is Probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Your weekly allowance is $15. You spent 30% How much did you spend?

Answers

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps

The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%

Answers

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

What is the mean absolute deviation of the following set of data?
4,6,12,8,10,10,7,8

Answers

The mean is 8.125 but there is not 2 sets of data

Guys please tell me the answer

Answers

Answer:

from 10 - 15 bikes

Step-by-step explanation:

From 5-10 because most likely people will often buy 5 bike so the 400 will add up everytime someone buys it

A helicopter is 2,500 feet above sea level. A pirate ship sunk with buried
treasure off the coast of Florida 125 years ago. It's depth is 3,000 feet
below the helicopter. How many feet below sea level is the pirate ship?

Answers

Answer:

500 feet below sea level

Step-by-step explanation:

You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level

2. What type of sequence is this?
4,0-4,-8, -12,...
Arthimetic
Geometric
Neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic is additive and geometric is multiplicative, and the numbers aren''t multiplying, they're adding.

Can someone please help me with this question

Answers

Answer:

volume= 186ft

Step-by-step explanation:

Ambrosone et al. (2004) conducted an observational study to explore whether broccoli consumption reduces the risk of developing breast cancer in premenopausal women. They report a p-value of 0.058. PROPOSITION ONE: The results suggest a statistically significant association between broccoli consumption and reduced risk of breast cancer at the 5% significance level; PROPOSITION TWO: The results prove the null hypothesis at the 5% significance level.

a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above

Answers

Answer:

c. PROPOSITION ONE is false and PROPOSITION TWO is true

Step-by-step explanation:

In this question, we have that:

pvalue of 0.058

Significance level of 0.05

The pvalue is larger than the significance level, which means that there is no statistically significant association(Propostion One is false), and the null hypothesis is not rejected, that is, it is proved, so Proposition Two is true.

This means that the correct answer is given by option C.

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 470 - 50x

Step-by-step explanation:

Total distance minus the distance covered in n number of hours if the speed is 50 mph.

The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the integers.

Answers

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p -value for the hypothesis test. The p -value should be rounded to 4 decimal places.

Answers

Answer:

0.9955

Step-by-step explanation:

Given :

Mean weight increase , μ = 14

Sample mean weight increase , xbar = 16.3

Standard deviation, s = 5.9

Sample size, n = 45

Hypothesis :

H0 : μ = 14

H1 : μ > 14

The test statistic : (xbar - μ) ÷ (s/sqrt(n))

Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))

Test statistic = 2.3 / 0.8795200

Test statistic = 2.615

The Pvalue :

P(Z < 2.615) = 0.99554

Hence, pvalue = 0.9955 (4 decimal places).

) Study cited that the calcium levels in men and women ages 70 years or older are summarized that sample size of 55 men with mean 785 and standard deviation 489 and sample size of 40 women with mean 670 and standard deviation of 419, what is the probability of obtaining a difference between sample means of 110 mg or more?

Answers

Answer:

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal sample means:

When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.

Sample size of 55 men with mean 785 and standard deviation 489

This means that:

[tex]\mu_A = 785[/tex]

[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]

Sample size of 40 women with mean 670 and standard deviation of 419

This means that:

[tex]\mu_B = 670[/tex]

[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]

Difference between sample means:

The mean and the standard deviation are, respectively:

[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]

[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]

What is the probability of obtaining a difference between sample means of 110 mg or more?

This is 1 subtracted by the pvalue of Z when X = 110. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 115}{93.47}[/tex]

[tex]Z = -0.053[/tex]

[tex]Z = -0.053[/tex] has a pvalue of 0.4812.

1 - 0.4812 = 0.5188

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

6³ . 2⁶ |Which expressions are equal to 2³ ? |126 23 . 33 26. 33 123​

Answers

Answer:

26 and 126

Step-by-step explanation:

hope this helps:))))

Answer:

Step-by-step explanation:

vbh th78g its a

Questio
Matteo scored 85 on their first test, 89 on their second test, 85 on their third test, and
89 on their fourth test. Suppose Matteo has one more test in the semester and wants
to finish with a mean score of 88.

What score do they need on their last test to finish with a mean score of 88?

Answers

Answer:

He needs 92 on his last test.

Step-by-step explanation:

Mean score:

The mean is the sum of all scores divided by the number of tests.

In this question:

Scores of 85, 89, 85, 89 and x(the last one).

5 tests.

We want a mean of 88. So we find x for a mean of 88.

[tex]\frac{85 + 89 + 85 + 89 + x}{5} = 88[/tex]

[tex]348 + x = 440[/tex]

[tex]x = 440 - 348 = 92[/tex]

He needs 92 on his last test.

In a school 156 student passed Geography or History There were 75 student who passed in both subject If 9 more passed Geography than History Find how many were taking each subject​

Answers

Answer:I’m not sure but I thinks it’s b might be wrong

Step-by-step explanation:

Mohamed spent $40 buying three pizzas do you order the wings roommates. Each pizza cost twice as much as the wings +1 dollar. What does one order of wings cost

Answers

Answer:

26

Step-by-step explanation:

12 1/3 +6 2/5 reduce these into lowest terms

Answers

Answer:

18 11/15

Step-by-step explanation:

This is the answer because:

1) First, find the common denominator: 12 1/3 = 12 5/15 and 6 2/5 = 6 6/15

2) Then add the fractions: 12 5/15 + 6 6/15 = 18 11/15

3) 18 11/15 is reduced to the lowest terms because 11 is a prime number.

Therefore, 18 11/15 is the answer.

Hope this helps! :)

Answer:

52.7

Step-by-step explanation:

121/3= 40.33

62/5= 12.4

40.3+12.4=52.7

plz mark me as brainliest.

if the square is directly proportional to w and z =4 when w =8​

Answers

Answer:

when you calculate the value of w is z= 5

Step-by-step explanation:

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

A four one quarter

Step-by-step explanation:

Consider the following data representing the price of laptop computers (in dollars). 1465, 1151, 1344, 1200, 1468, 1310, 1177, 1220, 1148, 1347, 1404, 1405, 1313, 1289, 1431, 1136, 1335, 1160, 1387, 1219, 1329 Price of Laptop Computers (in Dollars) Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency 1132–1191 1192–1251 1252–1311 1312–1371 1372–1431 1432–1491 Step 3 of 7 : Determine the lower class boundary for the sixth class.

Answers

Solution :

Class           Frequency  Class boundaries     Mid        Relative       Cumulative

                                                                         point      frequency    frequency

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

Total               21

Therefore, the lower class boundary for the sixth class is 1431.5

Answer:

21

Step-by-step explanation:

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

please say i'm right

The base area of a rectangular prism is 56 square feet. If the height of the prism is 3 feet, what is the total volume of the prism (in cubic feet)?

Answers

Answer:168 cubic feet

Solution:
V=Axh
V= (56 square feet) x (3 feet)
V= 168 cubic feet

for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA

Answers

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

Learn more here: https://brainly.com/question/20880990

what is the answer to this?

Answers

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

find the area of this parallelogram. no links just give the answer plz.

Answers

Answer:98

Step-by-step explanation:

because it is a rectangle at a slight angle so base * height

Brainlest plz

quadratic formula to find the zeros
b^2-4b+4=0

Answers

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

what fraction belongs in the box?

l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l_i_i_i_i_l___
0 1 2 3 4
*box

Answers

ANSWER:

Does not have enough information

WHY:

Because it is a bunch of i
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