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The official product store clerk at a university states that at least 40% of students have...

The official product store clerk at a university states that at least 40% of students have purchased one of the shirts with the university logo. However, the store owner believes that this figure is not true and that the design of the T-shirt should be changed to a more attractive one. To find out if the clerk is right, the owner asks 80 students if they had ever bought at least one of the university's T-shirts, 28 of them in them had. Assuming a significance level of 0.05, would we have enough evidence to claim that the clerk is wrong?

Type: proportion, 1 population

n = 80

p bar = 0.35

null hypothesis H_0: p = 0.4

alternative hypothesis H_1: p < 0.4

What is the p value?

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