Barr Pre Test-STAT 18 × NursingCAS Submit Appli School of Nunng 1 Langsto Applic

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Barr Pre Test-STAT 18 × NursingCAS Submit Appli School of Nunng 1 Langsto Application Process (TSN reanareyn | The following data represents a random sample of 35 online purchases in 5)on Cyber Mondsny 152 164 14 0224 157 170 1972 232 163 17099213 24 16178 200 223 2s0 Oline purchases on Cyber Monday averaged $203 tst year. The United Consumers Association wishes to determine # Cyber Monday saw a decrease in online sales this year at a levell ofl significance of 0.05 Did Cyber Monday purchuses decrease since lust yea at a statisticaily significant levwl 1 pts Question 15 data represents the reuts of a survey of 268 Black Friday shoopers soted by method of peyment nterest bearing Credit Card or Cash) and whether The following d or not they were done shopping for presents Nort Done According to the United Coroners Association, 32% of aaas paid wihai terest tearing credit cards bst year dring urvey, an economist suspects that this percentage has increased at a level of significance of 0.05 ack Friday. Based on the data in the Has the percentage of individuols who paid with an interest bearing credit caed increased since tast Black Friday, at a statissically significant level?

Explanation / Answer

Question 14: correct answer: Option - NO

since

H0: Cyber Monday purchases not decrease since last year
H1: Cyber Monday purchases decrease since last year
Let the los be alpha = 5%
From the given data

Sample Size, n: 35
Mean: 194.8
Variance, s^2: 877.8118
Standard Deviation, s: 29.62789
Sum: 6818
Sum of Squares: 1.357992e+6

Test Statistic:
t = (194.8-203)/(29.62789/sqrt(35)) = -1.6374
Critical t: -1.6909
P-Value: 0.0554

Here t value > t critical value and p-value > alpha 0.05, so we accept H0
Thus we conclude that Cyber Monday purchases not decrease since last year

Question 15: Correct answer: NO

since

H0: The percentage of individual who paid with an interest bearing credit card not increased since last Black friday
H1:The percentage of individual who paid with an interest bearing credit card increased since last Black friday
Let the los be alpha = 5%
From the given data

sample proportion p = 33/96 = 0.34375

Test Statistic:
Z = (0.34375-0.32)/(sqrt((0.32*1-0.32)/96)) = 0.4988
Critical z: 1.6449
P-Value: 0.3089

Here Z value < Z critical value and p-value > alpha 0.05, so we accept H0
Thus we conclude that The percentage of individual who paid with an interest bearing credit card not increased since last Black friday

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