A group of parents claims that their children will eat less than 5 candy bars on Halloween. To test this claim, we collected data from a simple random sample of 30 occasions where the children had access to unlimited candy and found out that they ate an average of 4.7 candy bars with a sample standard deviation of 0.89 candy bars.

Please follow the steps to test if at 5% significance level, data provide sufficient evidence to support the parents' claim.

Which one of the following are the null and alternative hypothesis?

1. H 0 : = 5 H a : < 5

2. H 0 : = 0 H a : < 0

3. H 0 : = 4.7 H a : > 4.7

4.H 0 : > 5 H a : = 5

The test statistic for this test is:

7.34

2.34

-1.23

-1.85

The critical value(s) for this test is/are:

-1.85, 1.85

-1.699

-1.645

1.699

The p-value for this test is between:

0.005 and 0.1

0.05 and 0.10

0.025 and 0.05

The decision is:

Reject the alternative

Do not reject the null

Reject the null

Do not reject the alternative

Which one of the following statements is correct based on your decision above?

1. Based on this sample, at 5% significance level, the data provide sufficient evidence to support the parents' claim.
2. Based on this sample, at 5% significance level, the data do not provide sufficient evidence to support the parents' claim.
3. Based on this sample, at 5% significance level, the data provide sufficient evidence to support that the kids will eat mode than 5 candy bars.
4. Based on this sample, at 1% significance level, the data provide sufficient evidence to support the parents' claim.

How would your answer to question 5 change if the significance level was 1% instead of 5%?

Cannot be determined.

Now do not reject instead of reject.

Now reject instead of do not reject.

Stay the same.

How would your answer to question 5 change if significance level was still 5% but now the parents claim changed to "they will not eat 5 candy bars"?

Cannot be determined

Stay the same.

Now reject instead of do not reject.

Now do not reject instead of reject.