Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Imagine a researcher presented a null hypothesis that in a certain community, th

ID: 3129225 • Letter: I

Question

Imagine a researcher presented a null hypothesis that in a certain community, the average energy expenditure is 2,100 calories per day. He randomly sampled 100 people in that particular community. He computed a t value using a two-tailed test statistic and the associated p-value was 0.08. Given a 90% confidence level, he should conclude:

a. The average energy expenditure is greater than 2,100 calories per day

b. The average energy expenditure is less than 2,100 calories per day

c. The average energy expenditure is not equal to 2,100 calories per day

d. Fail to reject the null hypothesis

e. None of the above

Explanation / Answer

Imagine a researcher presented a null hypothesis that in a certain community, the average energy expenditure is 2,100 calories per day. He randomly sampled 100 people in that particular community. He computed a t value using a two-tailed test statistic and the associated p-value was 0.08. Given a 90% confidence level, he should conclude:

a. The average energy expenditure is greater than 2,100 calories per day

b. The average energy expenditure is less than 2,100 calories per day

c. The average energy expenditure is not equal to 2,100 calories per day

d. Fail to reject the null hypothesis

e. None of the above

Calculated P=0.08 < 0.10, the level of significance.

The null hypothesis is rejected.