In a recent poll of 755 randomly selected adults. 588 said that it is morally wr
ID: 3437729 • Letter: I
Question
In a recent poll of 755 randomly selected adults. 588 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 distribution. Identify the correct null and alternative hypotheses. Choose the correct answer below. The test statistic is z = . (Round to two decimal places as needed.) The P-value is . (Round to four decimal places as needed.)Explanation / Answer
POPULATION PROPORTION Z TEST
Formulating the null and alternatuve hypotheses,
Ho: p = 0.7
Ha: p =/= 0.7 [OPTION D]
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As we see, the hypothesized po = 0.7
Getting the point estimate of p, p^,
p^ = x / n = 0.778807947
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.016677701
Getting the z statistic,
z = (p^ - po)/sp = 4.73 [ANSWER, ITEM 2]
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As this is a 2 tailed test, then, getting the p value,
p = 1.14861E-06 [ANSWER, ITEM 3]
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significance level = 0.01
Comparing p and the significance value, we REJECT THE NULL HYPOTHESIS.
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