Imagine a researcher presented a null hypothesis that in a

Question

A weatherman stated a null hypothesis that during the month of September, the mean daily temperature of Boston was the same as the mean daily temperature of New York. His alternative hypothesis was that the mean temperature in these two cities were different. He computed a p-value of 0.094. Using a confidence level of 90%, he should conclude:

1. In September, Boston was colder than New York
2. In September, New York was colder than Boston
3. Reject the null hypothesis
4. Fail to reject the null hypothesis
5. None of the above.

Which of the following descriptions of confidence interval is correct?

1. If a 95% confidence interval contains 0, then99% confidence interval contains 0
2. If a 99% confidence interval contains 0, then95% confidence interval contains 0
3. If a 95% confidence interval contains 1, then99% confidence interval contains 1
4. If a 99% confidence interval contains 1, then95% confidence interval contains 1
5. None of the above are correct about confidence intervals.

Imagine a researcher presented a null hypothesis that in a certain community, the average energy expenditure of residents is at least 2100 calories per day. He randomly sampled 100 residents in that particular community. He computed a negative test statistics and associated p-value was 0.08. Given 90% confidence level, he should conclude:

1. The average energy expenditure is greater than 2100 calories per day
2. The average energy expenditure is less than 2100 calories per day
3. The average energy expenditure is not equal to 2100 calories per day
4. Fail to reject the null hypothesis
5. None of the aboce

In a statistical hypothesis test, how is the rejection region impacted when the level of significance is increased?

1. The answer depends on the value of β
2. The size of the rejection region decreases
3. The size of the rejection region increases
4. The rejection region is unaltered
5. None of the above