QUESTION 1

The statement below is either true or false.Select the letter of the choice which best addresses the statement.

1. "It is possible to observe a test statistic that is consistent with the alternative hypothesis, but still fail to reject the null hypothesis."
2. The statement istrue. A test statistic that is consistent with the alternative hypothesis may not be significant if the variability in the sampling distribution is too high.
3. The statement isfalse. We only base our decision on the P-value, and the P-value will be bery small if the test statistic is consistent with the alternative hypothesis.
4. The statement isfalse. A test statistic that is consistent with the alternative hypothesis will be significant because it meets the requirements to apply the Central Limit Theorem.
5. The statement istrue. We only base our decision on the P-value, an the P-value is found using a different process than the test statistic.

QUESTION 2 This is a 6 part problem. This is 1 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported? what is the appropriate hypothesis pair with correct notation?

QUESTION 3 This is a 6 part problem. This is 2 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported? Determine the direction of the hypothesis test.

1. Right-tail Test
2. Left-tail Test
3. Two-tailed Test
4. Cannot be determined

QUESTION 4 This is a 6 part problem. This is 3 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported?

Calculate the test statistic associated with this hypothesis. (Round two decimal places)

QUESTION 5 This is a 6 part problem. This is 4 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported?

Calculate the P-value associated with the test statistic that you have found in part 3. (Round four decimal places)

QUESTION 6 This is a 6 part problem. This is 5 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported?

Based on your finding in part 5, please choose the appropriate decision.

1. Fail to Reject the Null Hypothesis
2. Reject the Null Hypothesis
3. Reject the Alternative Hypothesis
4. Fail to Reject the Alternative Hypothesis
5. Accept the Null Hypothesis
6. Accept the Alternative Hypothesis

QUESTION 7

This is a 6 part problem. This is 6 of 6.

A local Internetprovider wants to test the claim that the average time a family spends onlineon a Saturday is at least 7 hours. To test this claim, the Internetprovider randomly samples 30 households and finds that these families' mean number of hours spent on the Interneton a Saturday was6 hours with a standard deviation of 1.5 hours.At a level of significance of 0.05,can the Internet provider's claim be supported?

Based on your results from parts 1-5, which one of the statements below would be the correct interpretation of this hypothesis testing?

1. It is not true that the average timea family spends online on a Saturday is at least 7 hours.
2. We have enough evidenceto support that the average time a family spends online on a Saturday is at least 7 hours.
3. We can not acceptthat the average timea family spends online on a Saturday is at least 7 hours.
4. We have enough evidence to support the claim that the average time a family spends online on a Saturday is at least 7 hours.
5. We don't have enough evidence to support the claim that the average time a family spends online on a Saturday is at least 7 hours.

QUESTION 8

If a researcher is running a hypothesis testing for proportions, he should be using a t-test.

1. True
2. False

Please, show me your all works. Thanks.