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.

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JeanaShupp JeanaShupp · Answer 1 · 2019-07-10T06:47:26+02:00

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]