# Question 9 of 20 00 10 points a high school runs a

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Question 9 of 20 0.0/ 1.0 Points A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test for the data at α=0.01 Freshmen Sophomores Juniors Seniors Yes 75 88 55 42 No 30 28 38 40 Can it be concluded that participation in sports is dependent on grade level? .
A. No, it cannot be concluded that participation in sports is dependent on grade level because the p-value = 0.0020. B. No, it cannot be concluded that participation in sports is dependent on grade level because the p-value = 0.0010. C. Yes, it can be concluded that participation in sports is dependent on grade level because the p-value = 0.0010. D. Yes, it can be concluded that participation in sports is dependent on grade level because the p-value = 0.0020. Answer Key:C Feedback: We are running a Chi-Square Test for Independence. Copy and Paste the table into Excel. You are given the Observed Counts in the table. Next you need to sum the rows and columns. Once you have those you need to calculate the Expected Counts. You need to find the probability of the row and then multiple it by the column total. Freshmen Sophomores Juniors Seniors Yes 75 88 55 42 No 30 28 38 40 Sum 105 116 93 82 Freshmen Sophomores Juniors Seniors Yes =105*(260/396) =116*(260/396) =93*(260/396) =82*(260/396) No =105*(136/396) =116*(136/396) =93*(136/396) =82*(136/396) Now that we calculated the Expected Count we can use Excel to find the p-value. Use =CHISQ.TEST(highlight actual counts, highlight expected counts) = 0.0010 0.0010 < .01,Reject Ho. Yes, it can be concluded that participation in sports is dependent on grade level. Question 10 of 20 0.0/ 1.0 Points
An electronics store has 4 branches in a large city. They are curious if sales in any particular department are different depending on location. They take a random sample of 4 purchases throughout the 4 branches – the results are recorded below. Run an independence test for the data below at the 0.05 level of significance. Appliances TV Computers Cell Phones Branch 1 56 28 63 24 Branch 2 44 22 55 27 Branch 3 53 17 49 33 Branch 4 51 31 66 29 Can it be concluded that sales in the various departments are dependent on branch?