Calculator commands and proper labels required. Round probabilities, test statistics, critical values and P values to the thousands.

4. Conduct a hypothesis test showing all of your steps. In a recent NYC marathon, out of the 25,474 men who started the race, 253 dropped out. Out of the 13,046 women starters, 163 dropped out. At a 0.03 level of significance, can you claim the proportion of men and women dropouts is the same? a) State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed (circle one)? c) What is/are the critical value(s)? Draw a picture. d) What is the P-value and test-statistic? e) Give two reasons for your decision to rejectot reject Ho based on: 1) Test statistic compared to critical value 2) P-value compared to a Then, state the conclusion by relating back to the original claim