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Chapter 9: Q.102 (page 592)

After checking that conditions are met, you perform a significance test of H0:渭=1versus H伪:渭鈮�1. You obtain a Pvalue of 0.022. Which of the following is true?

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

(b) A 95%confidence interval for渭will include the value 0.

(c) A99% confidence interval for渭will include the value 1

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

(e) None of these is necessarily true.

Short Answer

Expert verified

(c) A 99% confidence interval for 渭will 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:渭=1

H伪:渭鈮�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 level伪=0.01. Thus, the null hypothesis is not rejected. Thus, it could be concluded that the 99%confidence interval would contain the value 渭=1.

Thus, the correct option is (c).

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Most popular questions from this chapter

You read that a statistical test at significance level伪=0.05 has power 0.78. What are the probabilities of Type I and Type II errors for this test?

A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of 28 students, 鈥淗ow much sleep did you get last night?鈥� Here are the data (in hours): 96868866.56794345611636610784.5977

Do these data provide convincing evidence in support of the professor鈥檚 suspicion? Carry out a significance test at the a=0.05level to help answer this question.

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A 95%confidence interval for a population mean is calculated to be (1.7,3.5). Assume that the conditions for performing inference are met. What conclusion can we draw for a test of role="math" localid="1650275427722" H0:渭=2versus Ha:渭鈮�2at the A=0.05level based on the confidence interval?

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