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A survey was conducted two years ago asking college students their top motivations for using a...

A survey was conducted two years ago asking college students their top motivations for using a credit card. The percentages are shown in the table to the right. Also shown in the table is the observed frequency for these motivations from a current random sample of college students who use a credit card. Complete parts a through c below.

Response Old Survey % New Survey Frequency, f
Rewards 29% 112
Low Rates 23% 96
Cash back 21% 109
Discounts 8% 48
Other 19% 60

Using α=0.025​, perform a​ chi-square test to determine if the probability distribution for the motivations for using a credit card changed between the two surveys.

Calculate the test statistic.

X2=

​(Round to two decimal places as​ needed.)

Determine the critical​ value,

χ2α =

​(Round to three decimal places as​ needed.)

B. Determine the​ p-value and interpret its meaning.

​p-value =

​(Round to three decimal places as​ needed.)

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Answer #1

Here first we need to find the expected values

the expected values obtained by multiplying the total and the percentage

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