A sociologist studying teen behavior took independent random samples of students from two high schools, F and G. Of the 80 students selected from High School F, 36 indicated they had seen a certain movie. Of the 72 students selected from High School G, 18 indicated they had seen the movie.

Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population proportions (High School F minus High School G) ?

0.45−0.25/√(0.36)(0.64)(180+172)
A

0.45−0.25/√(0.36)(0.64)(180+72)
B

0.45−0.25/(0.45)(0.25)√1/80+1/72
C

36−180/√(0.45/80 + 0.25/72)
D

36−180/√(0.45 + 0.25/80+72)
E

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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