A study was set up to explore whether students\'s year of high school and primar

Question

A study was set up to explore whether students's 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

Explanation / Answer

7) expected value =149*108/443=36.33

hence option A

8) applying chi test on above

for whcih p value is higher then 0.05

hence option C

9)option D is correct

Observed O grades Atheletics Popularity Total Freshmen 49 50 69 168 Sophomore 24 36 38 98 Junior 19 22 28 69 Senior 30 41 37 108 Total 122 149 172 443 Expected E=rowtotal*column total/grand total grades Atheletics Popularity Total Freshmen 46.266 56.506 65.228 168 Sophomore 26.989 32.962 38.050 98 Junior 19.002 23.208 26.790 69 Senior 29.743 36.325 41.932 108 Total 122 149 172 443 chi square =(O-E)^2/E grades Atheletics Popularity Total Freshmen 0.162 0.749 0.218 1.129 Sophomore 0.331 0.280 0.000 0.611 Junior 0.000 0.063 0.055 0.117 Senior 0.002 0.602 0.580 1.184 Total 0.495 1.694 0.853 3.041

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