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 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 5.0 inches s=1.4 inches C OA. 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. OB. Fail to reject the null hypothesis, there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. OC. Reject the null hypothesis, there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. OD. 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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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 |
|------------------------|----------------|--------------------|
| Sample size (\(n\))    | 50             | 30                 |
| Mean (\(\bar{x}\))     | 5.0 inches     | 4.6 inches         |
| Standard deviation (\(s\)) | 1.4 inches     | 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.

- **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.** Fail to reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women.

- **C.** 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: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 | |------------------------|----------------|--------------------| | Sample size (\(n\)) | 50 | 30 | | Mean (\(\bar{x}\)) | 5.0 inches | 4.6 inches | | Standard deviation (\(s\)) | 1.4 inches | 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. - **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.** Fail to reject the null hypothesis; there is strong evidence to suggest that non-athletic women are more flexible, on average, than athletic women. - **C.** 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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