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Expert-verified Found in: Page 597 ### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339 # An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentator believes that more than half of all adults favor such a ban. The null and alternative hypotheses you would use to test this claim are a).${H}_{0}:\stackrel{^}{p}=0.5;{H}_{a}:\stackrel{^}{p}>0.5$(b) ${H}_{0}:p=0.5;{H}_{a}:p>0.5$(c) ${H}_{0}:p=0.5;{H}_{a}:p<0.5$(d) ${H}_{0}:p=0.5;{H}_{a}:p\ne 0.5$(e) ${H}_{0}:p>0.5;{H}_{a}:p=0.5$

The null and alternative hypotheses you would use to test this claim are (b) ${H}_{0}:p=0.5;{H}_{a}:p>0.5$

See the step by step solution

## Step 1: Given Information

The hypotheses are statements about the population parameter:

$p$ : population proportion.

$\mu :$ population mean.

$\sigma :$ population standard deviation.

## Step 2: Explanation

The null hypothesis states that the population parameter is equal to the value mentioned in the claim:

${H}_{0}:p=50%=0.50$

The alternative hypothesis states the opposite of the null hypothesis (according to the claim):

${H}_{a}:p>0.50$

Therefore, the correct answer is (B). ### Want to see more solutions like these? 