The dataset lists the auction success rate for Item A and for Item B at eBay. Yo

Question

The dataset lists the auction success rate for Item A and for Item B at eBay. You wonder if both rates are equal. Please write a null hypothesis and alternative hypothesis. Then, use SPSS for an independent sample mean comparison t-test. Please briefly interpret the testing result.

# Item SuccessRate 1 Item A 0.7895 2 Item A 0.8800 3 Item A 0.8182 4 Item A 0.6818 5 Item A 0.6957 6 Item A 0.7959 7 Item A 0.6462 8 Item A 0.6842 9 Item A 0.6744 10 Item A 0.6522 11 Item A 0.7059 12 Item A 0.6595 13 Item A 0.7371 14 Item A 0.7213 15 Item A 0.6828 16 Item A 0.5613 17 Item A 0.7394 18 Item A 0.7117 19 Item A 0.7300 20 Item A 0.5915 21 Item A 0.6907 22 Item A 0.6770 23 Item A 0.7032 24 Item A 0.7554 25 Item A 0.7574 26 Item A 0.6798 27 Item A 0.5342 28 Item A 0.7872 29 Item A 0.7952 30 Item A 0.7632 31 Item A 0.7708 32 Item A 0.7763 33 Item A 0.7519 34 Item A 0.7145 35 Item A 0.7167 36 Item A 0.7657 37 Item A 0.7648 38 Item A 0.7425 39 Item A 0.7373 40 Item B 0.6881 41 Item B 0.5789 42 Item B 0.8800 43 Item B 0.7273 44 Item B 0.6364 45 Item B 0.6957 46 Item B 0.6531 47 Item B 0.5077 48 Item B 0.6184 49 Item B 0.6124 50 Item B 0.5725 51 Item B 0.6975 52 Item B 0.6293 53 Item B 0.6743 54 Item B 0.6995 55 Item B 0.6564 56 Item B 0.5032 57 Item B 0.7183 58 Item B 0.6396 59 Item B 0.6900 60 Item B 0.5362 61 Item B 0.6667 62 Item B 0.6433 63 Item B 0.6643 64 Item B 0.7038 65 Item B 0.7346 66 Item B 0.6601 67 Item B 0.4958 68 Item B 0.7748 69 Item B 0.7714 70 Item B 0.7394 71 Item B 0.7569 72 Item B 0.7451 73 Item B 0.7245 74 Item B 0.6598 75 Item B 0.6771 76 Item B 0.7336 77 Item B 0.7378 78 Item B 0.7180 79 Item B 0.7066 80 Item B 0.6823

Explanation / Answer

Null hypothesis: There is no difference between mean auction success rate for Item A and for Item B at eBay (two-tailed)

H0: u1 = u2

Alternate hypothesis: There is a significant difference between auction success rate for Item A and for Item B at eBay. (two-tailed)

HA: u1 u2

Levene's Test for Equality of Variances is statistically non-significant (0.53), which indicates that the group variances are equal in the study subject which suggests that meet the assumption of independent sample t-test.

As per statistical output mentioned below

In item A mean and SD observed was 0.71±0.06

In Item B mean and SD observed was 0.67±0.07

P value of mean difference observed is 0.007 (mentioned below) suggests that there is significantly higher auction success rate in Item A as compared to the Item B.

SPSS output is given below

SPSS Output

Group Statistics

Item

N

Mean

Std. Deviation

Std. Error Mean

SuccessRate

Item A

39

.7190359

.06777650

.01085293

Item B

41

.6734317

.07804617

.01218876

95% Confidence Interval of the Difference

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

Lower

Upper

SuccessRate

Equal variances assumed

.397

.531

2.784

78

.007

.04560419

.01637831

.01299748

.07821090

Equal variances not assumed

2.794

77.374

.007

.04560419

.01632029

.01310884

.07809954

Group Statistics

Item

N

Mean

Std. Deviation

Std. Error Mean

SuccessRate

Item A

39

.7190359

.06777650

.01085293

Item B

41

.6734317

.07804617

.01218876

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