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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

A test of H0:p=0.65against Ha:p<0.65has test statistic z = -1.78.

(a) What conclusion would you draw at the 5% significance level? At the 1% level?

(b) If the alternative hypothesis were H0:p=0.65, what conclusion would you draw at the 5% significance level? At the 1% level?

Attitudes In the study of older students鈥� attitudes from Exercise 3, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. A significance test yields a P-value of 0.0101.

(a) Interpret the P-value in context.

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You are testing H0:渭=10against H伪:渭鈮�10based on an SRS of 15tobservations from a Normal population. What values of the statistic are statistically significant at the伪=0.005level?

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