A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males. Part A: Construct and interpret a 99% confidence interval for the difference in population proportions of females and males who have at LEAST one notation for inappropriate behavior. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s).  Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain.

About 74% of MCC students believe they can achieve the American dream and about 65% of Ferris State Universtiy students believe they can achieve the American dream. Construct a 95% confidence interval for the difference in the proportions of Montcalm Community College students and Ferris State University students who believe they can achieve the American dream.  There were 100 MCC students surveyed and 100 FSU students surveyed.  a.  With 95% confidence the difference in the proportions of MCC and FSU students who believe they can achieve the American dream is (round to 3 decimal places) and (round to 3 decimal places). b.  If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve…

Leana is interested in the proportion of people who live in her area who own a dog. She randomly selects 50 addresses within a one-mile radius of her home and visits each to ask if they own at least one dog. Leana finds that 29 of the 50 homes she visited had at least one dog. Construct a 98% confidence interval for the population proportion of people who live within one mile of Leana's home who own at least one dog.

A high school counselor is interested in determining factors that contribute to high school drop out rates. One factor of interest to her is whether kids who are involved in team sports as children are less likely to drop out of high school. She surveys 41 high school graduates and finds that 30 were involved in team sports as children. She then surveys 38 high school dropouts and finds that 23 were involved in team sports as children. Construct and interpret a 90% confidence interval for the true difference between the proportions of high school graduates and dropouts who participated in team sports as children.  Does this data suggest that there is a difference between these proportions at this level of confidence?  Correctly round your results to the nearest tenth of a percent (one decimal place) in the intepretation of your interval.