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Hypothesis Testing of Single Mean and Single Proportion: Lab

Module by: Dr. Barbara Illowsky, Susan Dean

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 σ=2σ=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 H o :
  2. H a H a :
  3. In words, define the random variable. __________ =
  4. The distribution to use for the test is:
  5. Calculate the test statistic using your data.
  6. Draw a graph and label it appropriately.Shade the actual level of significance.
    • a. Graph:
      Figure 1
      Blank graph with vertical and horizontal axes.
    • b. Calculate 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

According to the 2000 Census, about 39.5% of Californians and 17.9% of all Americans 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 39.5%.

  1. H o H o :
  2. H a H a :
  3. In words, define the random variable. __________ =
  4. The distribution to use for the test is:
  5. Calculate the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    • a. Graph:
      Figure 2
      Blank graph with vertical and horizontal axes.
    • b. Calculate 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 H o :
  2. H a H a :
  3. In words, define the random variable. __________ =
  4. The distribution to use for the test is:
  5. Calculate the test statistic using your data.
  6. Draw a graph and label it appropriately. Shade the actual level of significance.
    • a. Graph:
      Figure 3
      Blank graph with vertical and horizontal axes.
    • b. Calculate 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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