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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Suppose you want to conduct the two-tailed test of H0: p =

Chapter 7, Problem 101E

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QUESTION:

Problem 101E

Suppose you want to conduct the two-tailed test of H0: p = .7 against Ha: p ≠ .7 using  = .05. A random sample of size 100 will be drawn from the population in question.

a. Describe the sampling distribution of  under the assumption that H0 is true.

b. Describe the sampling distribution of  under the assumption that p = .65.

c. If p were really equal to .65, find the value of b associated with the test.

d. Find the value of b for the alternative Ha: p = .71.

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QUESTION:

Problem 101E

Suppose you want to conduct the two-tailed test of H0: p = .7 against Ha: p ≠ .7 using  = .05. A random sample of size 100 will be drawn from the population in question.

a. Describe the sampling distribution of  under the assumption that H0 is true.

b. Describe the sampling distribution of  under the assumption that p = .65.

c. If p were really equal to .65, find the value of b associated with the test.

d. Find the value of b for the alternative Ha: p = .71.

ANSWER:

Solution:

Step 1 of 4:

A random sample of size 100 will be drawn from the population.

We have to conduct the two-tailed test of :p=0.7 against : p0.7 using .

Here we have to,

  1.  Describe the sampling distribution of under the assumption that is true,

  1. Describe the sampling distribution of under the assumption that p= 0.65,

  1. Find the value of associated with the test, if p were really equal to 0.65,

  1. Find the value of for the alternative :p=0.71.

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