Consider a car seller who sells four brands (A, B, C, and D) of cars. He says that he does not give any priority to any brand of cars and considers all brands equally important. In a given day, the number of cars available with brands A, B, C, and D is 50, 40, 45, and 60, respectively. Using significance α=0.05, test to find out if there is sufficient evidence to conclude that the car seller is right with his claim.

A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is            (3 dec places).The distribution is             (examples: normal / t12 /…

7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion? b) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is a promotion? c) Based on…

The table shows data about student involvement in extracurricular activities at a local high school. Extracurricular Activities Involved in Not Involved in Activities Activities Totals Male 112 145 257 Female 139 120 259 Totals 251 265 516 P(femalel involved in activities)? 265 516 139 251 251 516 139 516