Suppose you wanted to evaluate the performance of the three judges in Smallville, Texas: Judge Adams, Judge Brown, and Judge Carter. Over a three-year period in Smallville, Judge Adams saw 24% of the cases, Judge Brown saw 31% of the cases, and Judge Carter saw the remainder of the cases. 4% of Judge Adams' cases were appealed, 7% of Judge Brown's cases were appealed, and 8% of Judge Carter's cases were appealed. (See the case problem on pages 216-218 of your textbook for a similar problem.) Question 3 Given thejudge in a case from this three-year period was not Judge Brown, what is the probability the case was not appealed?

Example 2: Susan is a local politician who is planning on running for re-election and she wants to figure out what proportion of registered voters in her area would support her. Her campaign manager brought in 100 individuals as a focus group. Out of those 100 brought in, 37 were republican, 41 were democrat, and 22 had no party preference. Susan was worried that this focus group wouldn't accurately represent the breakdown of registered voters in that area which is 45% republican, 45% democrat, and 10% no party preference. Carry out an appropriate hypothesis test at the a = 0.04 level to determine if there is evidence that the political breakdown of the focus group does not match the political breakdown of the registered voters %3D in the area.

Ed's Tires and Brakes has two locations, one on the northwest side of town and one on the southeast side of town. At both locations are performed routine tire repairs and rotations, as well as expensive brake repairs. This past week, 80% of the cars serviced at Ed's were serviced at the northwest location, while 20% of the cars were serviced at the southeast location. (No car was serviced at both locations.) Brake repairs were more typical at the northwest location than at the southeast location: 65% of the cars at the northwest location required brake repairs, while 35% of the cars at the southeast location required brake repairs. Let N denote the event that a randomly chosen car (taken to Ed's in the past week) was serviced at the northwest location and N denote the event that a randomly chosen car was serviced at the southeast location. Let B denote the event that a randomly chosen car required brake repairs and B denote the event that a randomly chosen car did not require brake…

A researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of ethnic groups in her community. Her sample includes 300 whites, 80 African Americans, 100 Latinos, 40Asians, and 80 others. In her community, according to census records, there are 48% whites, 12% African Americans, 18% Latinos, 9% Asians, and 13% others. Is her sample unrepresentative of the population in her community? (Use the .05 level.) Carry out the steps of hypothesis testing for a chi-square test forgoodness of fit. Explain your answer to a person who has never taken a course in statistics.