7.33 RIDE SHARE PROFITS. Stanford University researchers published an MIT working paper titled "The Economics of Ride Hailing: Driver Revenue, Expenses, and Taxes" (February 2020). One of the objectives of the study was to determine whether ride-share drivers at Uber and Lyft actually make a profit. Data collected from a sample of 1,121 ride-share drivers yielded a mean monthly profit $661 with standard deviation s = $583. An Uber executive reports that μ, the true mean monthly profit of all ride-share drivers, is $1,000. You want to test the = executive's figure using a = a. Set up the null and alternative hypotheses for the test. Assume that you believe the true mean monthly profit is less than $1,000. b. Find the rejection region for the test. c. Compute the test statistic. = .10.

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**7.33 RIDE SHARE PROFITS**

Stanford University researchers published an MIT working paper titled “The Economics of Ride Hailing: Driver Revenue, Expenses, and Taxes” (February 2020). One of the objectives of the study was to determine whether ride-share drivers at Uber and Lyft actually make a profit. Data collected from a sample of 1,121 ride-share drivers yielded a mean monthly profit \( \bar{x} = \$661 \) with standard deviation \( s = \$583 \). An Uber executive reports that \( \mu \), the true mean monthly profit of all its ride-share drivers, is \$1,000. You want to test the executive’s figure using \( \alpha = .10 \).

a. Set up the null and alternative hypotheses for the test.  
   Assume that you believe the true mean monthly profit is less than \$1,000.

b. Find the rejection region for the test.

c. Compute the test statistic.

d. Use statistical software to find the p-value for the test.

e. What is your conclusion? Show that the conclusion is the same whether you use the rejection region or p-value.
Transcribed Image Text:**7.33 RIDE SHARE PROFITS** Stanford University researchers published an MIT working paper titled “The Economics of Ride Hailing: Driver Revenue, Expenses, and Taxes” (February 2020). One of the objectives of the study was to determine whether ride-share drivers at Uber and Lyft actually make a profit. Data collected from a sample of 1,121 ride-share drivers yielded a mean monthly profit \( \bar{x} = \$661 \) with standard deviation \( s = \$583 \). An Uber executive reports that \( \mu \), the true mean monthly profit of all its ride-share drivers, is \$1,000. You want to test the executive’s figure using \( \alpha = .10 \). a. Set up the null and alternative hypotheses for the test. Assume that you believe the true mean monthly profit is less than \$1,000. b. Find the rejection region for the test. c. Compute the test statistic. d. Use statistical software to find the p-value for the test. e. What is your conclusion? Show that the conclusion is the same whether you use the rejection region or p-value.
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