Question

Here are the results of a survey that examines preference for peanut or plain M&Ms and exercise level. Are these variable related? Do the calculations by hand.
       Exercise Level
       High   Medium   Low
M&M Preference   Plain   160   400   175
   Peanut   150   500   250

1.   Calculate expected values. You may edit the table and write the expected values below the observed values. Use whole integer numbers, don’t include decimals in your calculations. Example: 145.67 is written as 145. (2 points)

2.   Calculate the chi-square statistic value. Expand the chi-square formula and show your work. Just writing the final answer will earn zero points. Round values to one decimal only. Example: 12.29 is retained as 12.3. (2 points)

3.   Compare your calculated chi-square statistics with the critical value, level of significance 0.05 (Table B.5 on Page 412 of the textbook). Write both values here. Example: Chi-square statistics = 12.3; Critical Value = 10. (2 points)

4.   Do you reject or fail to reject the null hypothesis? Circle your answer. (2 points + 2 points for overall agreement between all answers).

Answer 1

Page No. Date Exexcise levol medium M prefea en ce High 160 Total 435 Plain 250 Goo Peanut 425 t635 gco 310 Total Expected Frequency xearcise lever mk m preferen ce High 139 35 10.64 medium 191-05 406-58 plain 495-41 233.g4 peanut 3.06t 0.0S 18 .3483+ 2.4965t 0 O425t 1.1025 8.1016 Test Hor nm Dreferente ancl Exescise leve not relatedl mk rm prepference anel Prercise level ase melteat, re VIS Test Stabstic 9.1016 3 2-1) C3-1 critical valu at a-o.0S, Xnts.9g 4 Decision Rute- 8-1016 2n't .99 Reject Ho Wecondude that 1n& Preference and Exercise selateal level are