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.

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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Question 30
30. 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:
Non-athletic women
n = 30
F = 4.6 inches
s=0.8 inches
Athletic women
m = 50
5.0 inches
s=1.4 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.
A) 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.
B) Reject the null hypothesis; there is strong evidence to suggest that non-athletic
women are more flexible, on average, than athletic women.
C) Fail to reject the null hypothesis; there is strong evidence to suggest that non-
athletic women are more flexible, on average, than athletic women.
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:30. 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: Non-athletic women n = 30 F = 4.6 inches s=0.8 inches Athletic women m = 50 5.0 inches s=1.4 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. A) 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. B) Reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. C) Fail to reject the null hypothesis; there is strong evidence to suggest that non- athletic women are more flexible, on average, than athletic women. 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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