Question

Formally state a research (alternate) and null hypothesis suggesting that older respondents are more likely to favor gun permits.

Answer 1

Solution :

Let we define; p1 = proportion of older respondents who favor gun permit.

p2 = proportion of new respondents who favor gun permit.

We are interested in testing the claim that older respondents are more likely to favor gun permits.

That is, symbolically it can be written as; to check whether p1 > p2.

Also note that the null ( H0 ) hypothesis is the hypothesis of "no difference" and hence it contains "equal to" sign.

Where as the alternative ( H1 ) hypothesis is exactly opposite of H0. It does notcontain "equal to sign".

So the null and alternative hypothesis in this contex are gievn by;

H0 : p1 =< p2 Vs H1 : p1 > p2.