# 9.17 Lab: hypothesis testing of a single mean and single proportion

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Class Time:

Names:

## Student learning outcomes:

• The student will select the appropriate distributions to use in each case.
• The student will conduct hypothesis tests and interpret the results.

## Television survey

In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that $\sigma =2$ . Using your class as the sample, conduct a hypothesis test to determine if the average for students at your school is lower.

1. ${H}_{o}$ :
2. ${H}_{a}$ :
3. In words, define the random variable. __________ =
4. The distribution to use for the test is:
5. Determine the test statistic using your data.
6. Draw a graph and label it appropriately.Shade the actual level of significance.
• Graph:
• Determine the p-value:
7. Do you or do you not reject the null hypothesis? Why?
8. Write a clear conclusion using a complete sentence.

## Language survey

About 42.3% of Californians and 19.6% of all Americans over age 5 speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school that speak a language other than English at home is different from 42.3%. (Source: http://www.census.gov/hhes/socdemo/language/ )

1. ${H}_{o}$ :
2. ${H}_{a}$ :
3. In words, define the random variable. __________ =
4. The distribution to use for the test is:
5. Determine the test statistic using your data.
6. Draw a graph and label it appropriately. Shade the actual level of significance.
• Graph:
• Determine the p-value:
7. Do you or do you not reject the null hypothesis? Why?
8. Write a clear conclusion using a complete sentence.

## Jeans survey

Suppose that young adults own an average of 3 pairs of jeans. Survey 8 people from your class to determine if the average is higher than 3.

1. ${H}_{o}$ :
2. ${H}_{a}$ :
3. In words, define the random variable. __________ =
4. The distribution to use for the test is:
5. Determine the test statistic using your data.
6. Draw a graph and label it appropriately. Shade the actual level of significance.
• Graph:
• Determine the p-value:
7. Do you or do you not reject the null hypothesis? Why?
8. Write a clear conclusion using a complete sentence.

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