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Chapter 9: Q.102 (page 592)

After checking that conditions are met, you perform a significance test of H0:μ=1versus Hα:μ≠1. You obtain a Pvalue of 0.022. Which of the following is true?

(a) A95%confidence interval for μwill include the value 1

(b) A 95%confidence interval forμwill include the value 0.

(c) A99% confidence interval forμwill include the value 1

(d) A 99%confidence interval for μwill include the value 0

(e) None of these is necessarily true.

Short Answer

Expert verified

(c) A 99% confidence interval for μwill include the value 1.

Step by step solution

01

Step-1 Given Information

Given In the question that,

The null and alternative hypothesis are:

H0:μ=1

Hα:μ≠1

P-value=0.022

we have to find the correct option.

02

Step-2 Explanation

The null hypothesis is rejected if P-value is less than the significance level, otherwise not. Here, P-value0.022is greater than the significance levelα=0.01. Thus, the null hypothesis is not rejected. Thus, it could be concluded that the 99%confidence interval would contain the value μ=1.

Thus, the correct option is (c).

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Most popular questions from this chapter

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