ClairLinx Wireless, a start-up cell phone company, is trying to decide if it should market specific phone service plans to specific groups of customers. ClairLinx divides its market of potential customers into three major groups: single, working; married, working; and retired. ClairLinx surveyed 500 potential customers (chosen at random) and asked each, "Of the following, which do you consider to be the most important feature in a cell phone service plan: free nights and weekends, free long distance and roaming, or free calls to customers with the same company?"

So, there are two variables being considered: type of potential customer ("single, working"; "married, working"; or "retired") and choice of service plan feature ("free calls to other customers", "free nights and weekends", or "free long-distance and roaming").

Each of the 500 potential customers in the survey was categorized according to the service plan feature she considers most important and the customer group in which she appears. The data are summarized in the contingency table below. In the cells of this table are three numbers: the first number is the observed cell frequency (fO); the second number is the expected cell frequency (fE) under the assumption that the two variables type of potential customer and choice of service plan feature are not related; and the third number is the following value.

( SO - SE ) (Observed cell frequency - Expected cell frequency) SE Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your (So- SE ) values to three or more decimal places. Choice of service plan feature X Free calls to Free nights Free long- other and distance and Total customers weekends roaming 38 43 76 Single, working 76.30 157 0.001 37 57 108 Type of Married, 42.02 61.81 98.17 202 potential working customer 0.600 0.374 0.984 29 53 59 Retired 68.53 141 1.325 104 153 243 500 Total Part 2 Answer the following to summarize the test of the hypothesis that the two variables type of potential customer and choice of service plan feature are not related. For your test, use the 0.10 level of significance. (a) Determine the type of test statistic to use. X ? Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 (c) Find the p-value. (Round to three or more decimal places.) (d) Can we conclude that the variables type of potential customer and choice of service plan feature are related? Use the 0.10 level of significance. Yes No