Question

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)

H0:p^=0.5;Ha:p^>0.5
(b)
H0:p=0.5;Ha:p>0.5
(c)
H0:p=0.5;Ha:p<0.5
(d)
H0:p=0.5;Ha:p≠0.5
(e)
H0:p>0.5;Ha:p=0.5

Answer 1

(b) H0: p = 0.5; Ha: p > 0.5

Explanation:

p represents the population proportion.

A null hypothesis is a statement from the population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.