A study was set up to explore whether students\' year of high school and primary
ID: 3181739 • Letter: A
Question
A study was set up to explore whether students' year of high school and primary concern are independent. A random sample of high school students in a large country was classified by their year of high school and whether grades, athletics or popularity was their primary concern. If students' year of high school and primary concern are independent, how many seniors in the sample would you expect to have athletics as their primary concern? A. 36.33 B. 56.51 C 29.74 D. More information is needed. At the 5% level of significance, what is your conclusion? A. Students' year of high school and primary concern are not independent for the sample. B. Students' year of high school and primary concern arc not independent for all high school students in the county. C. Students' year of high school and primary concern are independent for all high school students in the county. D. Students' year of high school and primary concern are not independent for all students. Assume one high school student is randomly selected from the sample. Find the probability that the student's primary concern is grades, given that the student is a senior. A. 108/443 B. 122/443 C. 30/122 D. 30/108 A random survey of 400 people provided the following information about their television habits: 21% watched soccer, 43% watched football, and 56% watched soccer or football.Explanation / Answer
Answer:
7).
149*108/443 =36.33
Answer: A 36.33
8).
Answer: C. students year of high school and primary concern are independent for all high school students in the country.
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
C1
C2
C3
Total
fo-fe
R1
49
50
69
168
2.7336
-6.5056
3.7720
R2
24
36
38
98
-2.9887
3.0384
-0.0497
R3
19
22
28
69
-0.0023
-1.2077
1.2099
R4
30
41
37
108
0.2573
4.6749
-4.9323
Total
122
149
172
443
Expected Frequencies
Column variable
Row variable
C1
C2
C3
Total
(fo-fe)^2/fe
R1
46.2664
56.5056
65.2280
168
0.1615
0.7490
0.2181
R2
26.9887
32.9616
38.0497
98
0.3310
0.2801
0.0001
R3
19.0023
23.2077
26.7901
69
0.0000
0.0628
0.0546
R4
29.7427
36.3251
41.9323
108
0.0022
0.6017
0.5802
Total
122
149
172
443
Data
Level of Significance
0.05
Number of Rows
4
Number of Columns
3
Degrees of Freedom
6
Results
Critical Value
12.5916
Chi-Square Test Statistic
3.0413
p-Value
0.8036
Do not reject the null hypothesis
9).
D. 30/108
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
C1
C2
C3
Total
fo-fe
R1
49
50
69
168
2.7336
-6.5056
3.7720
R2
24
36
38
98
-2.9887
3.0384
-0.0497
R3
19
22
28
69
-0.0023
-1.2077
1.2099
R4
30
41
37
108
0.2573
4.6749
-4.9323
Total
122
149
172
443
Expected Frequencies
Column variable
Row variable
C1
C2
C3
Total
(fo-fe)^2/fe
R1
46.2664
56.5056
65.2280
168
0.1615
0.7490
0.2181
R2
26.9887
32.9616
38.0497
98
0.3310
0.2801
0.0001
R3
19.0023
23.2077
26.7901
69
0.0000
0.0628
0.0546
R4
29.7427
36.3251
41.9323
108
0.0022
0.6017
0.5802
Total
122
149
172
443
Data
Level of Significance
0.05
Number of Rows
4
Number of Columns
3
Degrees of Freedom
6
Results
Critical Value
12.5916
Chi-Square Test Statistic
3.0413
p-Value
0.8036
Do not reject the null hypothesis
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