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Chapter 9: Q.7 (page 597)

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?

(a) None. We cannot carry out the test without the original data.

(b) None. We cannot draw a conclusion at the A=0.05level since this test is connected to the 97.5%confidence interval.

(c) None. Confidence intervals and significance tests are unrelated procedures.

(d) We would reject H0at level A=0.05.

(e) We would fail to reject H0at level A=0.05.

Short Answer

Expert verified

The correct answer is (e).

Step by step solution

01

Given Information

H0:渭=2

Ha:渭鈮�2

95%confidence interval: (1.7,3.5).

02

Explanation

The confidence interval contains the value 2 , the value 2 is a likely candidate for the population mean 渭 and thus we fail to reject the null hypothesis H0.

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