A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than offensive players. The conditions for inference were met, and the test produced a test statistic of t=1. 083 and a p-value of 0. 15. Based on the p-value and a significance level of α=0. 05, which of the following is the correct conclusion?

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15-03-2022
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A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than offensive players. The conditions for inference were met, and the test produced a test statistic of t=1. 083 and a p-value of 0. 15. Based on the p-value and a significance level of α=0. 05, which of the following is the correct conclusion?

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joaobezerra joaobezerra · Answer 1 · 2022-03-25T11:44:14+01:00

Considering the p-value of the test, it is found that the correct conclusion is that there is not enough evidence to conclude that the defensive players can press more than the offensive players.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference in the amount of weight that the defensive and offensive players can press, that is:

[tex]H_0: \mu_D - \mu_O = 0[/tex]

At the alternative hypothesis, it is tested if the defensive players can press more weight, that is:

[tex]H_1: \mu_D - \mu_O > 0[/tex]

What is the decision?

The p-value is greater than the significance level, hence we do not reject the null hypothesis, and the correct conclusion is that there is not enough evidence to conclude that the defensive players can press more than the offensive players.

More can be learned about the test of an hypothesis at https://brainly.com/question/26454209