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Which of the following 95%confidence intervals would lead us to reject H0 : p=0.30 in favor of

Ha :p not equal to 0.30 at the 5% significance level?

(a)(0.29,0.38)(c)(0.27,0.31)(e)Noneofthese(b)(0.19,0.27)(d)(0.24,0.30)

Short Answer

Expert verified

The correct option is (b)(0.19,0.27)

Step by step solution

01

Given information

Confidence level =95%

The null and alternative hypotheses are:H0:p=0.30Ha:p≠0.30

02

Concept

Confidence intervals give information not found in significance tests, such as a range of feasible values for the true population parameter p A two-sided H0:p=p0 test at significance level a yields a result similar to a 100(1-a) percent confidence interval.

03

Explanation

If the confidence interval does not contain 0.30the null hypothesis is rejected. The confidence interval (0.19,0.27)is the only one that does not contain the value of 0.30Confidence intervals give information not found in significance tests, such as a range of feasible values for the true population parameter pA two-sided H0:p=p0test at significance level a yields a result similar to a 100(1-a)percent confidence interval. This would result in the null hypothesis being rejected. As a result, the best solution is (b).

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Most popular questions from this chapter

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