One of the most important issues in US corporations is "equal pay." One of the largest medical device manufacturers, "Triangle," is examining whether its current compensation to district sales managers has systematic biases. Currently, the company uses a standard "base + incentive" compensation plan. Every district manager will get a base salary. Performance incentives arethencalculated based on the annual district sales (there are three tiers - (i) <$3M, (ii) between $3M and $5M, and (iii) >$5M). The company has hired two consulting firms - McBain and Delmonte - and asked them to collect a sample of 68 sales managers (34 male, 34 female) who have about ten years of experience in the industry.

Answer the following three questions based on this setup.

1. McBain has selected two separate random samples (one sample containing compensations of 34 male managers and another sample containing compensations of 34 female managers). The data are presented in "Equal Pay (McBain)" sheet. McBain then conducted a hypothesis test to see if there exists sufficient evidence to support that male managers are paid more than female managers on average. Which of the following shows the correct p-value and interpretation of the test?

p-value = 0.333. There is sufficient evidence that female managers are paid more than male managers on average.

P-value = 0.347. There is insufficient evidence that female managers are paid less than males managers on average.

P-value = 0.347. There is sufficient evidence that female managers are paid more than male managers on average.

p-value = 0.333. There is insufficient evidence that female managers are paid less than males managers on average.