For this question, we will use two random and independent samples of the data collected from beginning of the year survey for all Math 247 courses to investigate if the mean number of hours that a Math 247 full-time student sleeps is greater than mean number of hours that Math 247 part-time student sleeps.

to test the claim at the 5% significance level.

1. State the null and alternative hypothesis
2. State the P-value
3. State your conclusion.

Options Close Two sample proportion summary hypothesis test: p1 : proportion of successes for population 1 P2 : proportion of successes for population 2 - P2 : Difference in proportions Ho : P1 - P2 = 0.05 HA : P1 - P2 > 0.05 Hypothesis test results: Difference Countl Totall Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value P1 - P2 67 100 33 100 0.34 0.070710678 4.1012193