Find the appropriate test statisticpvalue Do motivation leve

Find the appropriate test statistic/p-value.

Do motivation levels between mid-level and upper-level managers differ? A randomly selected group of each were administered a survey, which measures motivation for upward mobility. The scores are summarized below:

                              Upper Level                               Mid Level

Sample Size:            173                                        109

Mean Score              77.4                                       79.71

Std. Deviation           11.06                                      6.43

Given that the P-value is 0.03, which of the following is the appropriate conclusion?

At = .01, reject H₀.

At = .02, accept H₀.

At = .025, fail to reject H₀.

At = .025, reject H₀.

Solution

Significance level alpha = 0.01

p value = 0.03

p>alpha hence accept H0. False

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At alpha = 0.02, p >0.02 accept H0 . True

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At alpha =0.025, p >0.025, accept H0. True.

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At alpha =0.025 , reject H0. False

Hence I and III options are true.