A researcher performs a hypothesis test to test the claim that among girls aged 9-10,the mean score on a particular aptitude test differs from 72,which is the mean score for boys of the same age.Use the computer output below to draw a conclusion about the girls' scores,using a significance level of 0.05. Test of $H0\mathrm { H } _ { 0 }$ : ? = 72 vs $HA\mathrm { H } _ { \mathrm { A } }$ : ? ? 72
N Mean StDev t P-value
19 75.88 12.7 1.33 0.20

A) Reject the null - there is sufficient evidence to say that girls' aptitude scores are different from 72.
B) Reject the null - there is not sufficient evidence to say that girls' aptitude scores are different from 72.
C) Fail to reject the null - there is evidence to say that girls' aptitude scores are different from 72.
D) Fail to reject the null - there is not sufficient evidence to say that girls' aptitude scores are different from 72.
E) There is insufficient information to draw a conclusion.

Question

A researcher performs a hypothesis test to test the claim that among girls aged 9-10,the mean score on a particular aptitude test differs from 72,which is the mean score for boys of the same age.Use the computer output below to draw a conclusion about the girls' scores,using a significance level of 0.05. Test of

H0\mathrm { H } _ { 0 }

: ? = 72 vs

HA\mathrm { H } _ { \mathrm { A } }

: ? ? 72
N Mean StDev t P-value
19 75.88 12.7 1.33 0.20

A) Reject the null - there is sufficient evidence to say that girls' aptitude scores are different from 72.
B) Reject the null - there is not sufficient evidence to say that girls' aptitude scores are different from 72.
C) Fail to reject the null - there is evidence to say that girls' aptitude scores are different from 72.
D) Fail to reject the null - there is not sufficient evidence to say that girls' aptitude scores are different from 72.
E) There is insufficient information to draw a conclusion.

Jamil Pittman · Accepted Answer

Final Answer : D, Explanation :  The p-value is 0.20, which is greater than the significance level of 0.05. This means that we fail to reject the null hypothesis that the mean score for girls does not differ from 72. Therefore, we do not have sufficient evidence to conclude that the girls' aptitude scores are different from 72.

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