We want to know if there exists a difference in sleep between pregnant and non-pregnant Americans. In a sample of 67 non-pregnant American adults, you find they average 7.15 hours of sleep per night, with a standard deviation of 1.04 hours. In an independent sample of 54 pregnant American adults, you find they average 7.92 hours of sleep per night, with a standard deviation of 1.02 hours. To a significance level of a = 0.08, test whether there exists a difference in sleep between the two groups. Please write your answers to at least four places. Assume that all conditions necessary for inference are satisfied. a. What will our hypotheses look like? Ho: 1 = 2 HA: M1 M2 Ho: P1 = P2 HA: P1 P2 Ho: Pa = 0 HA: Pa 0 b. What is the standard error? c. What is the test statistic? d. What is the p-value? e. Based on this p-value, at a significance level of a = 0.08, would we reject the null hypothesis? Reject H Fail to reject H