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AP® Statistics

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Males/Females ACT

APSTAT-61HDF4

Suppose a two-sample T-test hypothesizes that Ho: ${ u }_{ 1 }= { u }_{ 2 }$ vs. Ha: ${ u }_{ 1 }>{ u }_{ 2 }$

Let ${ u }_{ 1 }$= the ACT score of all males in the U.S.
Let ${ u }_{ 1 }$= the ACT score of all females in the U.S.

The two-sample T-test gives a p-value of $0.013$.

When testing at the $5\%$ level, one can conclude that

A

There is no evidence to suggest males score higher than females on the ACT.

B

There is no evidence to suggest males and females score the same as each other.

C

Significant evidence exists to accept the alternative hypothesis.

D

Significant evidence exists to reject the null hypothesis.

E

No evidence exists to claim males and females score the same.