MATH SOLVE

5 months ago

Q:
# A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis and the alternative hypothesis that we would use for this test.

Accepted Solution

A:

Answer: [tex]H_0:p\leq0.72[/tex][tex]H_a:p\neq0.72[/tex]Step-by-step explanation:Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% . Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .Claim : [tex]p\neq0.72[/tex]We know that the null hypothesis has equal sign.Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-[tex]H_0:p=0.72[/tex]And the alternative hypothesis must be :-[tex]H_a:p\neq0.72[/tex]Hence, the null hypothesis and the alternative hypothesis that we would use for this test :[tex]H_0:p\leq0.72[/tex][tex]H_a:p\neq0.72[/tex]