Question
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 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?
- Based on this sample, at 5% significance level, the data provide sufficient evidence to support the parents' claim.
- Based on this sample, at 5% significance level, the data do not provide sufficient evidence to support the parents' claim.
- 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.
- 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.
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