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