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9.5 Exercise 12

Avg difficulty 2.5

Suppose a consumer group suspects that the proportion of households that have three cell phones is 30%. A cell phone company has reason to believe that the proportion is not 30%. Before they start a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

a. The value that helps determine the p-value is p′. Calculate p′.

b. What is a success for this problem?

c. What is the level of significance?

d. Draw the graph for this problem. Draw the horizontal axis. Label and shade appropriately.
Calculate the p-value.

e. Make a decision. _____________(Reject/Do not reject) H0 because____________.

OpenStax Introductory Statistics 2e, 9.5 Additional Information and Full Hypothesis Test Examples, exercise 12

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.