Imagine a researcher presented a null hypothesis that in a certain community, the average energy expenditure of residents is at least 2,100 calories per day. He randomly sampled 100 residents in that particular community. He computed a negative 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
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ANSWER IS B
The p value is less than the significance level therefore we reject the null hypothesis and conclude the alternative to be true. While the null hypothesis is the average energy expenditure of residence is at least 2,100 calories per day, the alternative is the average energy expenditure of residents is less than 2,100 calories per day which is supported.