Question: Consider the following hypothesis test. [ begin{array}{l} H_{0}: mu_{1}-mu_{2} leq 0 H_{a}: mu_{1}-mu_{2}>0 end{array} ] The following results are for two independent samples taken
Consider the following hypothesis test. \\[ \\begin{array}{l} H_{0}: \\mu_{1}-\\mu_{2} \\leq 0 \\\\ H_{a}: \\mu_{1}-\\mu_{2}>0 \\end{array} \\] The following results are for two independent samples taken from the two populations. (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the \\( p \\)-value? (Round your answer to four decimal places.) (c) With \\( \\alpha=0.05 \\), what is your hypothesis testing conclusion? Reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu_{1}-\\mu_{2}>0 \\). Reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu_{1}-\\mu_{2}>0 \\). Do not Reject \\( H_{0} \\). There is sufficient evidence to conclude that \\( \\mu_{1}-\\mu_{2}>0 \\). Do not reject \\( H_{0} \\). There is insufficient evidence to conclude that \\( \\mu_{1}-H_{2}>0 \\)
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