Two schools are investigating whether there is a difference in the proportion of students who attend the homecoming football game. Both schools have over 2,000 students. School A selected a simple random sample of 100 students and found that 98 attended the homecoming football game. School B selected a simple random sample of 150 students and found that 142 attended the homecoming football game. Let p-hat c represent the combined sample proportion for the two schools, and let nA and nB represent the respective sample sizes. Have the conditions for statistical inference for testing a difference in population proportions been met? A. No, the condition for independence has not been met, because random samples were not selected from both schools.
B. No, the condition for independence has not been met, because the sample sizes are too large when compared to the corresponding population sizes.
C No, the condition that the distribution of the difference in sample proportions is approximately normal has not been met, because nA(p-hat c)nA(p-hat c) is not greater than or equal to 5.
D. No, the condition that the distribution of the difference in sample proportions is approximately normal has not been met, because nA(1−p-hat c)nA(1−p-hat c) is not greater than or equal to 5.
E. All conditions for making statistical inference have been met.