Many believe that it is not feasible for men and women to be just friends, while others argue that this belief may not be true anymore because gone are the days when men worked and women stayed at home and the only way they could get together was for romance. A researcher conducts a survey on 186 students. The students are asked their sex (male or female) and if it is feasible for men and women to be just friends (yes or no). A portion of the responses is shown in the accompanying table.
Student Sex Feasible
1 female yes
2 female yes
⋮ ⋮ ⋮
186 male no
picture Click here for the Excel Data File
a-1. Construct a contingency table that cross-classifies the data by Sex and Feasible. Provide the frequencies in the accompanying table.
a-2. How many of the students were female?
a-3. How many of the students felt that it was feasible for men and women to be just friends?
b-1. What is the likelihood that a male student feels that men and women can be just friends? (Report the proportion rounded to 2 decimal places.)
b-2. What is the likelihood that a female student feels that men and women can be just friends? (Report the proportion rounded to 2 decimal places.)
c. The figure below shows the stacked column chart for the data.
Which of the following statements is least accurate?
multiple choice
Yes is the most common answer.
The number of male students involved in this survey is less than female students.
Both men and women are more likely to say that it is not feasible for men and women to be friends.
Both men and women are more likely to say that it is feasible for men and women to be friends.
The least accurate statement is:
Both men and women are more likely to say that it is not feasible for men and women to be friends.
a-1. To construct a contingency table, we need to cross-classify the data by Sex and Feasible. The contingent table would look like this:
| Feasible | Not Feasible |
--------|----------|--------------|
Female | X | X |
--------|----------|--------------|
Male | X | X |
In this table, the Xs represent the frequencies of each combination. To complete the table, we would need to know the specific frequencies for each combination.
a-2. To determine how many of the students were female, we need to count the number of female students in the data. We can look at the sex column in the provided table and count the number of times "female" appears.
a-3. To determine how many students felt that it was feasible for men and women to be just friends, we need to count the number of "yes" responses in the feasible column of the table.
b-1. The likelihood that a male student feels that men and women can be just friends would be calculated by dividing the number of male students who answered "yes" by the total number of male students.
b-2. The likelihood that a female student feels that men and women can be just friends would be calculated by dividing the number of female students who answered "yes" by the total number of female students.
c. Without the provided figure, it is not possible to determine which statement is least accurate.