Mathematics High School

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: pequals0.6 versus Upper H 1: pgreater than0.6 nequals200; xequals135, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals10.

Use technology to find the P-Value.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

[tex]H_o:P=0.6[/tex]

[tex]H_1:P>0.6[/tex]

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ [tex]n \times p\times (1-P)[/tex]

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion [tex]\hat P = \dfrac{x}{n}[/tex]

[tex]= \dfrac{135}{200}[/tex]

= 0.675

The test statistics [tex]Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}[/tex]

[tex]Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}[/tex]

[tex]Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}[/tex]

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

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Step-by-step explanation:

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А 3ст в
D
C С

Answers

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Step-by-step explanation:

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Answer:

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Decimal Form: q = -1.5

Mixed Form: q = -1 1/2

Step-by-step explanation:

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Answer:

6q=9-18=( -9)

q=(-9)/6

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Step 1: Define

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Step 2: Evaluate

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus Upper H 1​: pgreater than0.6 nequals200​; xequals135​, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals​10. Use technology to find the P-Value.

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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: pequals0.6 versus Upper H 1: pgreater than0.6 nequals200; xequals135, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals10.

Use technology to find the P-Value.