Do social shoppers differ from other online consumers with respect to spending b

Question

Do social shoppers differ from other online consumers with respect to spending behavior? A study of browser-based shopping sessions reported that social shoppers, consumers who click away from social networks to retail sites or share an item on a social network, spent a mean of $128.24 on a retail site in a 30-day period compared to other online shoppers who spent a mean of $114.36. Suppose that the study consisted of 400 social shoppers and 400 other online shoppers and the standard deviation of the order value vas $42 tor social shoppers and$11 tor other online shoppers. Assume a level of significance of 0.10. Complete parts (a) through (c) below. a. Is there evidence of a difference in the variances of the order values between social shoppers and other online shoppers? Let social shoppers correspond to subscript "ss" and let other online shoppers correspond to subscript "oos." Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: sigma^2_ss lessthanorequalto sigma^2_ H_1: sigma^2_ss > sigma^2_ B. H_0: sigma^2_ss = sigma^2_ H_1: sigma^2_ss notequalto sigma^2_ C. H_0: sigma^2_ss > sigma^2_ H_1: sigma^2_ss lessthanorequalto sigma^2_ D. H_0: sigma^2_ss notequalto sigma^2_005 H_1: sigma^2_ss = sigma^2_006 Identify the test statistic for this test. (Round to two decimal places as needed.) Identify the p-value for this test. (Round to three decimal places as needed.)

Explanation / Answer

Given,

sample size(n)=400

Variance 1(ss)=42*42=1764

Variance 2(os)=11*11=121

A.a) Null and alternate hypothesis are given as

H0: Vss=Vos

H1: VssVos

Answer is B

A.b) test statistic

here we use F-test for analysing population variances

F(calc)=V1/V2

F(calc)=1764/121

F(calc)=14.58

test statistic is 14.58

A.c) df1=400-1=399

df2=400-1=399

=0.1/2=0.05(two tail test)

F(0.05,399,399)=1

F(0.95,399,399)=1

as the test statistic is not equal to 1 we reject the null hypothesis

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.