10.75 Marijuana and gender In a survey conducted by Wright State University, senior high school students were asked if they had ever used marijuana. The table shows results of one analysis, where X is the count who said yes. Assuming these observations can be treated as a random sample from a population of interest,

a. Interpret the reported estimate and the reported confidence interval. Explain how to interpret the fact that 0 is not in the confidence interval.

b. Explain how the confidence interval would change if males were Group 1 and females were Group 2.

Express an interpretation for the interval in that case.

Sample X N Sample p 1. Female 445 1120 0.3973 2. Male 515 1156 0.4455 estimate for p(1) − p(2): −0.0482 95% CI for p(1) − p(2): (−0.0887, −0.0077)