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

The sociologist is studying the behavior of the independent random samples of the students and has taken the students from the high school.

F and G if the total 80 students had seen a certain movie. The 72 were selected for the high school and 18 indicated they saw a movie.

The statistical test for the appropriate examination of the investigator shows the difference in the population of the high school F minus the G school.

As per the test 0.45−0.25/√(0.36)(0.64)(180+172)

Hence option A is correct.

Learn more about studying teen behavior.

brainly.com/question/15786657.