Question

A scientist was interested in studying if students religious beliefs change as they go through college. one hundred randomly selected students were asked before they entered college if they would consider themselves religious, yes or no. four years later, the same 100 students were asked if they would consider themselves religious, yes or no. the scientist decided to perform mcnemar's test. the data is below. what is the proportion of people that stated that they were religious before they entered college?

after college (four years later)yes after college (four years later) no
before college yes 55 23
before college no 11 11

a. 0.23
b. 0.66
c. 0.78
d. 0.55
e. 0.11
f. 0.22

Answer 1

The proportion of students that stated they were religious before they entered college is calculated by adding the number of students who answered 'yes' before college and dividing by the total number of students, resulting in 78/100 or 0.78.option c is correct.

Step-by-step explanation:

To calculate the proportion of people that stated they were religious before they entered college, we need to look at the total number of students who answered 'yes' before college and divide that by the total number of students surveyed. According to the data provided:

• 55 students said 'yes' to being religious before college and 'yes' after college.
• 23 students said 'yes' to being religious before college and 'no' after college.
• 11 students said 'no' to being religious before college and 'yes' after college.
• 11 students said 'no' to being religious before college and 'no' after college.

The total number of students who stated they were religious before college is the sum of those who said 'yes' before college, regardless of their answer after college. That is, 55+23=78 students. Since there were 100 students surveyed, the proportion is 78/100=0.78.

Therefore, the correct answer is c. 0.78.