A researcher wants to know whether athletic women are more flexible than​ non-athletic women. For this​ experiment, a woman 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 summary statistics below. Assume that all conditions for testing have been met. 1)Report the test statistic and​ p-value. 2)At the​ 1% significance​ level, state your decision regarding the null hypothesis and your conclusion about the original claim. (Round all values to three decimal places.)

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A researcher wants to know whether athletic women are more flexible than​ non-athletic women. For this​ experiment, a woman 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 summary statistics below. Assume that all conditions for testing have been met.

1)Report the test statistic and​ p-value.

2)At the​ 1% significance​ level, state your decision regarding the null hypothesis and your conclusion about the original claim. (Round all values to three decimal places.)

 

 

Athletic Women
Non-Athletic Women
n= 30
x = 4.6 inches
s= 0.8 inches
n= 50
x= 5.0 inches
s= 1.4 inches
Transcribed Image Text:Athletic Women Non-Athletic Women n= 30 x = 4.6 inches s= 0.8 inches n= 50 x= 5.0 inches s= 1.4 inches
O A. t= - 1.623; p = 0.054; Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible
than non-athletic women.
O B. t=1.623; p = 0.055; Fail to reject the null hypothesis; there is not strong evidence to suggest that athletic women are more
flexible than non-athletic women.
Oc. t= - 1.623; p = 0.108; Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible
than non-athletic women.
O D. t= 1.623; p = 0.108; Reject the null hypothesis; there is not strong evidence to suggest that athletic women are more flexible
than non-athletic women.
Transcribed Image Text:O A. t= - 1.623; p = 0.054; Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible than non-athletic women. O B. t=1.623; p = 0.055; Fail to reject the null hypothesis; there is not strong evidence to suggest that athletic women are more flexible than non-athletic women. Oc. t= - 1.623; p = 0.108; Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible than non-athletic women. O D. t= 1.623; p = 0.108; Reject the null hypothesis; there is not strong evidence to suggest that athletic women are more flexible than non-athletic women.
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