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In a recent poll of 740 randomly selected adults, 590 said that it is morally wr

ID: 3294227 • Letter: I

Question

In a recent poll of 740 randomly selected adults, 590 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level to test the claim that 70% of adults say that it is morally wrong to not report all income on tax returns. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distributio

Explanation / Answer

Ho: p = 0.7
H1: p # 0.7

p-hat = 590/740 = 0.797
test stat: z(0.797) = (0.797-0.7)/sqrt[0.7*0.3/740]

= 5.7738

p-value = 2*P(z > 5.7738) = 0

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