An Economist Conducted a Hypothesis Test to Test the Claim $\begin{array}{l}H_{0}: \mu=\$ 5.25 \\H_{a}: \mu>\$ 5.25\end{array}$

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. $\begin{array}{l}H_{0}: \mu=\$ 5.25 \\H_{a}: \mu>\$ 5.25\end{array}$

$\begin{array} { l } \text { T-Test } \\\mu > 5.25 \\t = 4.644687288 \\p = 3.4015934 E - 5 \\\bar { x } = 6.31 \\S x = 1.25 \\n = 30 \\\end{array}$
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.