A Researcher Wants to Know Whether Athletic Men Are More

Multiple Choice

A researcher wants to know whether athletic men are more flexible than non-athletic men. For this experiment, a man who exercised vigorously at least four times per week was considered "athletic."
Flexibility is measured in inches on a sit & reach box. Test the researcher's claim using the
Following summary statistics: $\begin{array}{|l|l|}\hline \text { Athletic men } & \text { Non-athletic men } \\\hline n=50 & n=40 \\\hline \bar{x}=4.3 \text { inches } & \bar{x}=3.2 \\\hline s=2.1 \text { inches } & s=1.0 \text { inches } \\\hline\end{array}$

Assume that all conditions for testing have been met. Report the test statistic and p-value. At the $5 \%$ significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth.

A) $\mathrm { t } = - 3.270 ; \mathrm { p } = 0.002$ ; Reject the null hypothesis; there is strong evidence to suggest that athletic men are more flexible than non-athletic men.
B) $t = 3.270 ; \mathrm { p } = 0.001$ ; Fail to reject the null hypothesis; there is not strong evidence to suggest that athletic men are more flexible than non-athletic men.
C) $t = 3.270 ; \mathrm { p } = 0.001$ ; Reject the null hypothesis; there is strong evidence to suggest that athletic men are more flexible than non-athletic men.
D) $t = - 3.270 ; p = 0.002$ ; Reject the null hypothesis; there is not strong evidence to suggest that athletic men are more flexible than non-athletic men.