Chapter 9, Problem T9.1SPT

To determine

To find : Best answer for the statement “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:

Answer to Problem T9.1SPT

So, the correct answer is option (b) that is $H_0:p=0.5,H_a:p>0.5$ .

Explanation of Solution

Given information :

1. $H_0:\widehat{p}=0.5,H_a:\widehat{p}>0.5$
2. $H_0:p=0.5,H_a:p>0.5$
3. $H_0:p=0.5,H_a:p<0.5$
4. $H_0:p=0.5,H_a:p\ne 0.5$
5. $H_0:p>0.5,H_a:p=0.5$

The hypotheses are statements about the population parameter:

  $p:$ Population parameter.

  $\mu :$ Population mean.

  $\sigma :$ Population standard deviation.

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):

  $H_a:p>0.50$