A Computer Manufacturer Believes That the Proportion of Hardware Malfunctions

question 125

Essay

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. Does the evidence support the computer manufacturer's claim at the 10% significance level?

• 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. Does the evidence support the computer manufacturer's claim at the 10% significance level?

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Definitions:

1990s

The decade extending from January 1, 1990, to December 31, 1999, marked by significant global events, technological advancements, and cultural shifts.

United States

A country located in North America, comprising 50 states, a federal district, and several territories, known for its diverse cultures and large economy.

Intergenerational Mobility

Intergenerational Mobility refers to the changes in social status that occur from one generation to the next within a family or lineage.

Intragenerational Mobility

The movement of an individual within the social hierarchy during their lifetime, which can be upward or downward in terms of social class, income, and status.