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The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). Find the test statistic

The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). Find the test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars).

Find the test statistic 

The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). 4.41 3.13 2.45 3.98 4.35 4.51 4.14 3.72 4.60 3.78 3.37 3.88 n USE SALT The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, you can assume it is reasonable to regard the sample as representative of European McDonald's restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using a = 0.05. (Hint: See Example 12.12.) State the appropriate null and alternative hypotheses. Но: и 3D 5.04 Hạ: u > 5.04 О но: и Ho: u > 5.04 H: u < 5.04 Ho: H = 5.04 На: и# 5.04 Но: и < 5.04 H: u > 5.04 Но: и 3D 5.04 Ha: u < 5.04 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value %3D 0.000
Transcribed Image Text:The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). 4.41 3.13 2.45 3.98 4.35 4.51 4.14 3.72 4.60 3.78 3.37 3.88 n USE SALT The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, you can assume it is reasonable to regard the sample as representative of European McDonald's restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using a = 0.05. (Hint: See Example 12.12.) State the appropriate null and alternative hypotheses. Но: и 3D 5.04 Hạ: u > 5.04 О но: и Ho: u > 5.04 H: u < 5.04 Ho: H = 5.04 На: и# 5.04 Но: и < 5.04 H: u > 5.04 Но: и 3D 5.04 Ha: u < 5.04 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value %3D 0.000
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Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.5% of those who received and opened an email request for a donation and 7.2% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.)

 

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