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Approximately 21% of American adults smoke. To test this claim, a survey was conducted collecting data...

Approximately 21% of American adults smoke. To test this claim, a survey was conducted collecting data on 400 American adults and finds that 80 claim to smoke. Test at the .10 level of significance. What is the decision?

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Answer

Given that population proportion po = 0.21

sample proportion p(hat) = 80/400 = 0.2

sample size is n = 400

z test statistic

using z table, check -0.4 in the left most column and 0.09 in the top row, then select the inspecting cell, we get

p value = 0.6234

p value is insignificant because it is greater than the significance level of 0.10

DECISION:- Failed to reject Ho

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