A survey was conducted two years ago asking college students their top d Survey

Question

A survey was conducted two years ago asking college students their top d Survey New Survey motivations for using a credit card. To determine whether this distribution has Response Frequen f changed, you randomly select 425 college students and ask each one what Reward 29% 110 the top motivation is for using a credit card. Can you conclude that there has Low rates 23% been a change in the claimed or expected distribution? Use a 0.05. Cash back 22% Complete parts (a) through (d). Discount 8% Other 18% 61 a. State Ho and Ha and identify the claim. What is the null hypothesis, Ho? O A. The distribution of motivations differs from the expected distribution O B. The distribution of motivations is 29% rewards, 23% low rate 22% cash back, 8% and 18% other. o c. The distribution of motivations is 110 rewards, 97 low rate, 109 cash back iscounts, and 61 other Click to select your answer(s)

Explanation / Answer

a) Correct answer: option (B)

  Correct answer: option (B)

Claim Hypothesis : Ha

b) chisquare critical value = 9.4878

Correct answer: option (C)

(C) Test statistic Chisquare = 12.9049

Since

Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: New Survey Oi

Test Contribution
Category Observed Proportion Expected to Chi-Sq
1 110 0.29 123.25 1.42444
2 97 0.23 97.75 0.00575
3 109 0.22 93.50 2.56952
4 48 0.08 34.00 5.76471
5 61 0.18 76.50 3.14052

d) Reject H0 there is enough eveidence to conclude that the distribution motivations the changes the claimed distribution

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