Question

Website design options include mobile-first (structured to optimize performance for users on phones and mobile devices) and responsive design (structured to optimize performance for users on desktop computers).

Data were collected based on a random sample of the number of times users complained about website design on a given day. Five non-profit organizations with mobile-first design were studied, as well as six non-profit organizations with responsive design. The organizations are roughly comparable in terms of number of visitors and target audience. Data for each organization are shown below.

Non-profit organizations with mobile-first design (n = 5)
Non-profit number	1	2	3	4	5
Number of complaints per day	36	65	56	50	51

Non-profit organizations with responsive design (n = 6)
Non-profit number	1	2	3	4	5	6
Number of complaints per day	81	76	78	53	52	78

(a) Specify the hypotheses for a t-test to see whether the mean number of complaints differs for organizations with mobile-first and responsive design.

(b) Conduct a hypothesis test with a = 0.05, estimating the t-statistic and the p-value.

(c) Report:

the level of significance,

            the type and value of the test statistic (including degrees of freedom if appropriate),

            the p-value (exact values if possible, or a range of possible values), and

            the implications for the null hypothesis.

Do the results indicate that the number of user complaints per day differ for small non-profit organizations, depending on whether mobile-first or responsive design is used?

Answer 1

solation - We beside design opliorks include robile, first: Rewired information is given by, Jalon profite fist-design Nonprofit o 3 alouf Complonit (36 65 56 4 50 5 51 zubo profit tre sponsive decsign ]' Non profit No. of complaints 1 BL 2 3 4 5 6 76 78 63 52 78 clean and Qandard deviation given bg asing TV ble have to obtained the data is * * = EXIL (36+65456450 451) - 258 958 FI = 54.00 - 51.6 Izexi-Fl] Si=1 G11] G-61.6)+65–516124 (56-51.612+(50-51.637+(51-51.6% (51) 1415.9 BIS! Grill.3 SI = 10.5491

6- TV - Colt 16+18+53 +501-16 ] - 4.18 [#2 = 69.67) 6.- Ecri- Yo]? 62-13 1 – 69.6144C76-69.6732+ C+8-69.6732+ (563–69.672 +052-69.67)2+48-69.6732 061) Gul Bat:683 = 115.9.6667 (52= 13.397) Then X: 516 DI Gi= 10.549 62=13.397 ni=5 D2=6. T2 = 69.67 Co Colle i © Specify the hypothes for a Hestin we have to Glate the hypothesis by aring given dat is Eler -null hypothesils is Ho : ll=est

->Aleinative hypothesis is HA: en fli - Conducting the hypothesil at d20.05! Aatistic the tea and pvalce is he hall to oldained Catistic in ir here tea Qatific ta (8 - x2] . a da de base to 616-69.6+] (10.519) - Cloison 6 V 5 -18.07 - t= vog.056 +29.913 ta - 18.01 J59.169 ta -18.07 7.2298 te -9.50 pale il pralce- ct-test, df=tnetnovoj -C-250, df-C546-01) - (-9.50, df = 97 = 6.339)

there for ttel- =-.50 ) Pialue = 0.0639 ) and a -> we have to compared the Dualue picalue < < 0.0839 20.05 Rejected nuu hypothe Gils at N=0.05 © Report : We have to obtained fimal Cummary by using Efere, F0.05) → level of Gigmiticames -> te ft Satils-to-9.50 df=5 thenol =C6+5-8) =119 (df=as > blake is 0.0639 at v=0.08 → Revected the run hypothesis Timal Conclusion its) There is a Cufficient er difference between nont and no. of Complaints I sufficient evidence to slipport to claim e between nonf Complaints per day of first acism of complaints per day of responsive design. com