In: Statistics and Probability
A study examined the average pay for men and women entering the workforce as doctors for 21 different positions.
(a) If each gender was equally paid, then we would expect about half of those positions to have men paid more than women and women would be paid more than men in the other half of positions.
(b) Men were, on average, paid more in 19 of those 21 positions. Complete a hypothesis test using your hypotheses from part (a).
4. Write the appropriate hypotheses to test this scenario
5. Calculate a test statistics and p-value
6. Does this sample provide a convincing evidence that men are paid more than women at a significance level $\alpha$ of 0.05?