Question

A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer. Rose Gold Colour Frequency White 102 Black 126 Silver 87 Can the company conclude that their expected distribution was accurate using a 2.5% level of significance? Chi Square Distribution Table a. Calculate the test statistic. x2 = Round to two decimal places if necessary b. Determine the critical value(s) for the hypothesis test. C. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject

Answer 1

Sol Given data is: Ichi-square =(01-ENTE: Blanke Colowy lobservando frog.Coi). Expectool fred. (E1) white 102 1350* 0-30 = 105 126 350 *035 = 122.5 Silver 350 x 20,90= 70 Rose Gold 35 350*0.15 = 52.5 Itatal | 350 350 87 0.0957 0.1 4.1986 5.8333 10.14 76 @The chin Square (X?) Value = (10.15 - (b) Critcal Valus = 9.3484 X=0.095 udta n-1= 3 @ 9.3484 Chi-Square Value = 10:15 > critical Value = So, we Reject the null hypothesis. allease like