Use the figure to the right, which shows the percentages of adults from several

Question

Use the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1121 adults from Country A, 1018 adults from Country B, 1028 adults from Country C, and 1052 adults from Country D. At alpha = 0.07, can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country? Assume the random samples are independent. Choose the correct answer below. H_0: p_1 notequalto p_2 H_a: p_1 = p_2 H_0: p_1 = p_2 H_a: p_1 notequalto p_2 H_0: p_1 p_2 H_a: p_1 lessthanorequalto p_2 Find the standardized test statistic z = (Round to two decimal places as needed.) Use technology to calculate the P-value P-value = (Round to four decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. Fail to reject H_0 because the P-value is less than the significance level alpha Reject H_0 because the P-value is less than the significance level alpha Reject H_0 because the P-value is greater than the significance level alpha Fail to reject H_0 because the P-value is greater than the significance level alpha Can you support the original claim? Choose the correct answer below. No, at the 7% significance level, there is insufficient evidence to support the claim. Yes, at the 7% significance level, there is insufficient evidence to reject the claim No, at the 7% significance level, there is sufficient evidence to reject the claim Yes, at the 7% significance level, there is sufficient evidence to support the claim

Explanation / Answer

Hypothesis:

Ho : p1>p2

Ha: p1<=p2

test static = 0.46 - 0.41/sqrt( 0.46*0.54 + 0.41*0.59)

= 0.10

p-value = 0.5398

Fail to reject Ho because the P-value is less than significance level alpha

yes, at 7% significance level , there is insufficient evidence to reject the claim

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