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. A researcher tested his claim using the following summary statistics: Athletic women Non-athletic women n = 50 * = 5.0 inches s=1.4 inches n = 30 x = 4.6 inches s= 0.8 inches Assume that all conditions for testing have been met. t = 1.626; p = 0.057 ; At the 1% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. O A. Fail to reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. O B. Fail to reject the null hypothesis; there is not strong enough evidence to suggest that athletic women are more flexible, on average, than non-athletic women. O C. Reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. O D. Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible, on average, than non-athletic women.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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. A researcher tested his
claim using the following summary statistics:
Athletic women
Non-athletic women
n = 50
* = 5.0 inches
s=1.4 inches
n = 30
x = 4.6 inches
s= 0.8 inches
Assume that all conditions for testing have been met. t = 1.626; p = 0.057 ; At the 1% significance level, state your decision regarding the null
hypothesis and your conclusion about the original claim.
O A. Fail to reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic
women.
O B. Fail to reject the null hypothesis; there is not strong enough evidence to suggest that athletic women are more flexible, on average, than
non-athletic women.
O C. Reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic
women.
O D. Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible, on average, than non-athletic
women.
Transcribed Image Text: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. A researcher tested his claim using the following summary statistics: Athletic women Non-athletic women n = 50 * = 5.0 inches s=1.4 inches n = 30 x = 4.6 inches s= 0.8 inches Assume that all conditions for testing have been met. t = 1.626; p = 0.057 ; At the 1% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. O A. Fail to reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. O B. Fail to reject the null hypothesis; there is not strong enough evidence to suggest that athletic women are more flexible, on average, than non-athletic women. O C. Reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. O D. Reject the null hypothesis; there is strong evidence to suggest that athletic women are more flexible, on average, than non-athletic women.
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