A study investigated whether the population mean exam score differs between Engineering and Business students. A two-tailed Welch two-sample t t -test produced a p p -value of 0.083. The test was conducted using a significance level of α = 0.05 \alpha=0.05 .
Which statement provides the most appropriate interpretation and conclusion?

Question

A study investigated whether the population mean exam score differs between Engineering and Business students. A two-tailed Welch two-sample  t t -test produced a  p p -value of 0.083. The test was conducted using a significance level of  α = 0.05 \alpha=0.05 . 
 Which statement provides the most appropriate interpretation and conclusion?

Answer

Because  p = 0.083 p=0.083 , there is an 8.3% probability that the two schools have equal population mean exam scores.

Answer

None of these statements are correct

Answer

Because  p = 0.083 p=0.083 , there is a 91.7% probability that the population mean exam scores differ between the two schools.

Answer

Because  p = 0.083 > 0.05 p=0.083>0.05 , we accept  H 0 H_0  and conclude that the two schools have identical population mean exam scores.

Answer

Because  p = 0.083 > 0.05 p=0.083>0.05 , we fail to reject  H 0 H_0 . There is insufficient evidence that the population mean exam score differs between Engineering and Business students.

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A study investigated whether the population mean exam score differs between Eng...

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