An economist conducted a hypothesis test to test the claim that the average cost of eating a meal at home increased from 2009 to 2010. The average cost of eating a meal at home in 2009 was $5.25 per person per meal. Assume that all conditions for testing have been met. He used technology to complete the hypothesis test. Following is his null and alternative hypothesis and the output from his graphing calculator. H₀: µ = $5.25 H_a: µ $5.25 At the 5% significance level, choose the statement that contains the correct conclusion regarding the hypothesis and the original claim. A)Fail to reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. B)Reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. C)Fail to reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. D)Reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009.

Question

An economist conducted a hypothesis test to test the claim that the average cost of eating a meal at home increased from 2009 to 2010. The average cost of eating a meal at home in 2009 was $5.25 per person per meal. Assume that all conditions for testing have been met. He used technology to complete the hypothesis test. Following is his null and alternative hypothesis and the output from his graphing calculator. H₀: µ = $5.25 H_a: µ > $5.25 At the 5% significance level, choose the statement that contains the correct conclusion regarding the hypothesis and the original claim. A)Fail to reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. B)Reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. C)Fail to reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. D)Reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009.

Quizplus · Accepted Answer

The Answer of An economist conducted a hypothesis test to test the claim that the average cost of eating a meal at home increased from 2009 to 2010. The average cost of eating a meal at home in 2009 was $5.25 per person per meal. Assume that all conditions for testing have been met. He used technology to complete the hypothesis test. Following is his null and alternative hypothesis and the output from his graphing calculator. H₀: µ = $5.25 H_a: µ > $5.25 At the 5% significance level, choose the statement that contains the correct conclusion regarding the hypothesis and the original claim. A)Fail to reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. B)Reject the null hypothesis; there is sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. C)Fail to reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009. D)Reject the null hypothesis; there is not sufficient evidence to support the claim that the average cost of eating at home has increased since 2009.

An Economist Conducted a Hypothesis Test to Test the Claim