A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. a. Specify the competing hypotheses to test the manufacturer's claim. b. Calculate the value of the relevant test statistic. c. Compute the p-value. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. a. Specify the competing hypotheses to test the manufacturer's claim. b. Calculate the value of the relevant test statistic. c. Compute the p-value. d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions.
a. Specify the competing hypotheses to test the manufacturer's claim.
b. Calculate the value of the relevant test statistic.
c. Compute the p-value.
d. Does the evidence support the computer manufacturer's claim at the 10% significance level?
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