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IP CH 6: C Take a Test Gabrielle Bur X C A https:// /Student/PlayerTe est Id 465

ID: 3129323 • Letter: I

Question

IP CH 6: C Take a Test Gabrielle Bur X C A https:// /Student/PlayerTe est Id 465865 aspx Apps UF U UF U UF U D STARS C UF Reg ollege Por Agenda C High MyMathLab Gabrielle Burch 2/28/16 8:56 AM Quiz: Chapter 12 Review Quiz Submit Quiz This Question: 1 pt 7 o 0 (0 complete This Quiz 10 pts possible More shoppers do the majority of their grocery shopping on Saturday than any other day of the week. However, is there a difference in the various age groups in the proportion of people who do the majority of their grocery shopping on Saturday? A study showed the results for the different major age groups. Assume that 50 shoppers for each age group were surveyed. Complete (a) through (c) belo a Click the icon to view the results of the stud Click the icon to view the table of critical values of X Results of the Study The critical value for 0.10 is (Round to three decimal places as needed.) Major Shopping Day Under 35 35-54 Over 54 Saturday 26% 26% 4% Ho There Y evidence of a difference among the age groups with respect to major grocery shopping day A day other than 74% 74% 86% Saturday b. Determine the p-value in (a) and interpret its meaning The p-value is Done (Round to three decimal places as needed.) hat does the p-value mean? O A. The p-value is the probability of falsely rejecting the null hypothesis O B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true O C. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. O D. The p-value is the probability that the null hypothesis is true c. If it was assumed that instead of 50 there were 200 shoppers surveyed for each age group, the results from the X test in (a) and (b) are XSTAT 11.189, xa 4.605, and p-value 0.004. Discuss the implications of sample size on the X test for differences among more than two populations Increasing the sample size results in a V extreme test statistic and thus, a Y p-value. For this problem, these results mean the conclusion to the test Y The null hypothesis Click to select your answer (s 9:56 AM 2/28/2016

Explanation / Answer


The chi-square statistic is 5.5944. The p-value is .06098. The result is not significant at p < .05.

Option A p value is prob of falsely rejecting null hypothesis.

c) p = 0.004<0.10

Reject null hypothesis.

Results <25 25-54 >54 Row Totals Saturday 26  (22.00)  [0.73] 26  (22.00)  [0.73] 14  (22.00)  [2.91] 66 Other days 74  (78.00)  [0.21] 74  (78.00)  [0.21] 86  (78.00)  [0.82] 234 Column Totals 100 100 100 300  (Grand Total)
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