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.
Student Sex Feasible
1 female yes
2 female yes
3 female yes
4 female yes
5 female yes
6 female yes
7 female yes
8 female yes
9 female yes
10 female yes
11 female yes
12 female yes
13 female yes
14 female yes
15 female yes
16 female yes
17 female yes
18 female yes
19 female yes
20 female yes
21 female yes
22 female yes
23 female yes
24 female yes
25 female yes
26 female yes
27 female yes
28 female yes
29 female yes
30 female yes
31 female yes
32 female yes
33 female yes
34 female yes
35 female yes
36 female yes
37 female yes
38 female yes
39 female yes
40 female yes
41 female yes
42 female yes
43 female yes
44 female yes
45 female yes
46 female yes
47 female yes
48 female yes
49 female yes
50 female yes
51 female yes
52 female yes
53 female yes
54 female yes
55 female yes
56 female yes
57 female yes
58 female yes
59 female yes
60 female yes
61 female yes
62 female yes
63 female yes
64 female yes
65 female yes
66 female yes
67 female yes
68 female yes
69 female no
70 female no
71 female no
72 female no
73 female no
74 female no
75 female no
76 female no
77 female no
78 female no
79 female no
80 female no
81 female no
82 female no
83 female no
84 female no
85 female no
86 female no
87 female no
88 female no
89 female no
90 female no
91 female no
92 female no
93 female no
94 female no
95 female no
96 female no
97 female no
98 female no
99 female no
100 female no
101 female yes
102 female yes
103 female yes
104 female yes
105 female yes
106 female yes
107 female yes
108 female yes
109 female yes
110 male yes
111 male yes
112 male yes
113 male yes
114 male yes
115 male yes
116 male yes
117 male yes
118 male yes
119 male yes
120 male yes
121 male yes
122 male yes
123 male yes
124 male yes
125 male yes
126 male yes
127 male yes
128 male yes
129 male yes
130 male yes
131 male yes
132 male yes
133 male yes
134 male yes
135 male yes
136 male yes
137 male yes
138 male yes
139 male yes
140 male yes
141 male yes
142 male yes
143 male yes
144 male yes
145 male yes
146 male yes
147 male yes
148 male yes
149 male yes
150 male no
151 male no
152 male no
153 male no
154 male no
155 male no
156 male no
157 male no
158 male no
159 male no
160 male no
161 male no
162 male no
163 male no
164 male no
165 male no
166 male no
167 male no
168 male no
169 male no
170 male no
171 male no
172 male no
173 male no
174 male no
175 male no
176 male no
177 male no
178 male no
179 male no
180 male no
181 male no
182 male no
183 male no
184 male no
185 male no
186 male no
a-1. The contingency table that cross-classifies the data by Sex and Feasible is shown below:
| | Feasible - Yes | Feasible - No |
|----------|----------------|---------------|
| Sex - Male | 10 | 38 |
| Sex - Female | 96 | 42 |
a-2. There were 138 female students.
a-3. There were 106 students who felt that it was feasible for men and women to be just friends.
b-1. The likelihood that a male student feels that men and women can be just friends is 10/48 = 0.21.
b-2. The likelihood that a female student feels that men and women can be just friends is 96/138 = 0.70.
c. 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. Construction of a contingency table:
| Feasible |
Sex | Yes | No |
-------------------------------------
Female | 61 | 30 |
-------------------------------------
Male | 10 | 85 |
-------------------------------------
a-2. The number of female students is 61 + 30 = 91.
a-3. The number of students who felt that it was feasible for men and women to be just friends is 61 + 10 = 71.
b-1. The likelihood that a male student feels that men and women can be just friends is 10/95 ≈ 0.11.
b-2. The likelihood that a female student feels that men and women can be just friends is 61/91 ≈ 0.67.
c. Based on the stacked column chart, 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.