# Hypothesis test: difference in proportions

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A sample of high school seniors showed that 18 of 60 who owned PlayStation 3 spent more than an hour a day playing games, compared with 32 of 80 who owned Xbox 360. Is there a significant difference in the population proportions at alpha = .10?

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This solution shows all calculation details with explanations, step by step, for testing a hypothesis about the difference in two population proportions.

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This solution shows all calculation details with explanations, step by step, for testing a hypothesis about the difference in two population proportions. Please see the attached Word document.

A sample of high school seniors showed that 18 of 60 who owned PlayStation 3 spent more than an hour a day playing games, compared with 32 of 80 who owned Xbox 360. Is there a significant difference in the population proportions at α = .10?

This is a large sample two-tailed test of hypothesis about , the difference between two population proportions. The significance level of the test is 0.10.

Information from the samples

x1 = 18

n1 = 60

p1 = x1/n1 ...

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