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Based on the p value you got in the previous question, which of the following is the most appropriate conclusion for a 2-tailed test using an alpha of .01?

O Reject the null hypothesis and conclude that there is a relationship between number of hours of sleep and number of questions correct on an exam. Higher examm scores are associated with more sleep.
O Reject the null hypothesis, the data does not support the conclusion that hours of sleep and question correct on an exaam are related.
O Do not reject the null hypothesis, the data does not support the conclusion that hours of sleep and question correct on an examm are related.
O Reject the null hypothesis, getting more sleep causes people to get more questions correct on an examm.
O Do not reject the null hypothesis, there is a relationship between hours of sleep and questions correct on an examm.

User Radim
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Final answer:

The appropriate conclusion with an unspecified p-value and an alpha of 0.01 is to not reject the null hypothesis if the p-value is greater than alpha. This means that there is not enough evidence to support a relationship between hours of sleep and questions correct on an exam.

Step-by-step explanation:

In considering the p-value which is not specified but referred to in the previous questions, the correct conclusion depends on its comparison with the alpha level of 0.01. If the p-value is less than alpha, you would reject the null hypothesis and conclude there is statistically significant evidence of a relationship between the two variables. However, if the p-value is greater than alpha, you would not reject the null hypothesis and conclude that there is not sufficient evidence to support that a relationship exists.

Given that decision d states 'Do not reject the null hypothesis' and the previous examples where the decision to reject the null hypothesis was made when the p-value was less than alpha, we would choose the option:

O Do not reject the null hypothesis, the data does not support the conclusion that hours of sleep and questions correct on an examm are related.

This conclusion aligns with the given statement that at a 1 percent significance level, the evidence did not support that freshmen students study less than 2.5 hours per day.

User Lother
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