Quiz: Session 14: Chapter 12 Quiz This Question: 1 pt 2 of 5 A researcher wanted

Question

Quiz: Session 14: Chapter 12 Quiz This Question: 1 pt 2 of 5 A researcher wanted to determine whether certain Full data set accidents were uniformly distributed over the days of the Observed Observed week. The data show the day of the week for n 280 Day Count Day Count randomly selected accidents. Is there reason to believe Sun 50 Thu 48 that the accident occurs with equal frequency with Mon 33 Fri 30 respect to the day of the week at the a 0.05 level of Tue 43 significance? 39 Sat Wed 37 Choose the correct answer below. O A. Yes because xa is greater than the critical value or the p-value is less than O B. No because xa is less than the critical value or the p-value is greater than O c. No because x8 is greater than the critical value or the p-value is less than O D. Yes because xa is less than the critical value or the p-value is greater than

Explanation / Answer

Question 1 :

so X2 = 8.3 and

X2 critical = 12.592

so p - value = 0.2170

Option - D is correct which is "yes,because X02 is less than the critical value or the p- value is greater than alpha.

Question 2.

so

so X2 = 8.1369 and

X2 critical = 11.070

so p - value = 0.2282

so the answer is yes, because X20 is less than or equal to the critical value or the p- value is greater than alpha.

Option - D is correct which is "yes,because X02 is less than the critical value or the p- value is greater than alpha.

Day Obs.Count Expected (Oi -Ei)^2 (Oi -Ei)^2/Ei Sun 50 40 100 2.5 Mon 33 40 49 1.225 Tue 39 40 1 0.025 Wed 37 40 9 0.225 Thu 48 40 64 1.6 Fri 30 40 100 2.5 Sat 43 40 9 0.225 sum 8.3

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