Question
Choose one of the three claims listed below. Then, collect data from members of the appropriate population and perform a hypothesis test to determine if
Choose one of the three claims listed below. Then, collect data from members of the appropriate population and perform a hypothesis test to determine if the evidence supports the claim or does not support the claim. After you have written your conclusion, look at the "real" value of the population mean and determine if your hypothesis test produced a correct decision, a Type I error or a Type II error.
1. Pick one of the following claims to test.
A. Parents of college students believe that they spend a mean of at most $30 per week on eating out.
B. It is believed that college students see at least 2 movies per month in the theater.
C. It is believed that college students watch TV for 6 hours a week.
2. State the null and alternative hypothesis based off of the claim you have chosen.
3. In the next step, you will collect data from 10 college students. Assuming that the population distribution is approximately normal, what formula should be used for the test statistic? Also, choose a level of significance of 0.10, 0.05, or 0.01.
4. Gather data from 10 college students.
a) How did you gather your data?
b) Using your method of collecting data, is there any potential for bias?
c) Record your results below.
5. Calculate the sample mean and the sample standard deviation.
6. Calculate the test statistic using the values you just calculated from your sample.
7. Determine the type of your hypothesis test: left-tailed, right-tailed, or two-tailed. Draw a picture of your rejection region.
8. What is your conclusion?
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