A researcher claims that 10% of all safely helmets have manufacturing flaws To t

Question

A researcher claims that 10% of all safely helmets have manufacturing flaws To test this claim (HO: p = 0.10). a random sample of helmets was selected and the sample proportion of helmets with flaws calculated After further calculations, a 97%, confidence interval on the true proportion of helmets that have flaws was found to be (0.08. 0.13) and a decision was made about the claim of the true proportion of helmets with flaws. Using the same level of significance, which the Mowing p-values would lead to the same conclusion (same conclusion.is reached using the confidence interval) about the claim HO: rho = 0.10  0.002 0.0001 0.04 0. 004

Explanation / Answer

99% confidence interva of true proportion of helmets

we can say that is equal to 0.10 because the interval contain 0.10

as you can see alpha = 1 - 0.99 = 0.01

to say the same with p values we need a p value uppér than 0.01

so the answer is 0.04 because is the only value that is greater than 0.01

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