Question

Imagine a researcher posed a null hypothesis that in a certain community, the average energy expenditure should be 2,100 calories per day. He randomly sampled 100 people in that community. After he computed the t value by calculating a two-tailed t-statistic, he found that the probability value was 0.10. Thus, he concluded:

Answer 1

The researcher concluded that there is insufficient evidence to reject the null hypothesis regarding the average energy expenditure in the community.

Step-by-step explanation:

The researcher in this scenario calculated a two-tailed t-statistic for a null hypothesis that the average energy expenditure in a certain community should be 2,100 calories per day. After computing the t value, the researcher found that the probability value (p-value) was 0.10.

Since the p-value is greater than the significance level (alpha) of 0.05, the researcher concluded that there is insufficient evidence to reject the null hypothesis.

This means that based on the sample data, the researcher cannot conclude that the average energy expenditure in the community is significantly different from 2,100 calories per day at a 5 percent significance level.

Answer 2

Answer: I fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.

Step-by-step explanation:

Null Hypothesis H₀ : average energy expenditure is 2100 calories per day

Alt Hypothesis H₁: average energy expenditure is NOT 2100 calories per day

now since

P-value (0.10) > ∝ (0.05),

then he should say;

i fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.