Fil in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your values to three or more decimal places. Sond data to Excel Cholce of service plan feature Free calls to Free nights and Free long- distance and other Total customers weekends roaming 23 48 76 Single, working 44.10 147 0.345 32 53 107 Married, working 38.02 57.60 96.38 192 Type of potential customer 0.953 0.367 1.170 44 49 68 Retired 48.30 161 0.010 Total 99 150 251 500 Part 2 Answer the following to summarize the test of the hypothesis that the two variables type of potential customer and cholce of service plan feature are not related. For your test, use the 0.10 ievel of signiticance. (a) Determine the type of test statistic to use. Type of test statistie: (Choose one) (b) Find the value of the test statistic. (Round to two or more decimal places.) (e) Find the p-valun. (Round to three or more decimal places.)

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**ClariLinX Wireless Study: Service Plan Preferences**

ClariLinX Wireless, a start-up cell phone company, is evaluating whether to market specific phone service plans to distinct groups of customers. These groups are categorized into: single, working; married, working; and retired. A survey was conducted with 500 randomly selected potential customers where they were asked to identify the most important feature of a cell phone service plan. The features include: free nights and weekends, free long-distance and roaming, or free calls to customers within the same company.

**Study Variables:**

1. **Type of Potential Customer:**
   - Single, working
   - Married, working
   - Retired

2. **Choice of Service Plan Feature:**
   - Free calls to other customers
   - Free nights and weekends
   - Free long-distance and roaming

The contingency table summarizes the survey data, showing the observed frequency (f<sub>o</sub>), the expected cell frequency (f<sub>e</sub>), and the calculation for the test statistic using the formula:

\[
\frac{(f_o - f_e)^2}{f_e} \quad (\text{Observed cell frequency} - \text{Expected cell frequency})^2 / \text{Expected cell frequency}
\]

**Part 1: Contingency Table Analysis**

Complete the missing values in the table using the given data and round expected frequencies to two or more decimal places. Calculate the values for the test statistic and round off appropriately.

- **Type of Potential Customer vs. Choice of Service Plan Feature**

|                    | Free calls to other customers | Free nights and weekends | Free long-distance and roaming | Total |
|--------------------|-------------------------------|--------------------------|--------------------------------|-------|
| Single, working    | 23                            | 48                       | 76                             | 147   |
| Married, working   | 32                            | 53                       | 107                            | 192   |
| Retired            | 44                            | 49                       | 68                             | 161   |
| **Total**          | 99                            | 150                      | 251                            | 500   |

Fill in the blank values by calculating expected frequencies and rounding them to two or more decimal places.

**Part 2: Hypothesis Testing**

Summarize the hypothesis test to determine if there is a relationship between the type of potential customer and the choice of
Transcribed Image Text:**ClariLinX Wireless Study: Service Plan Preferences** ClariLinX Wireless, a start-up cell phone company, is evaluating whether to market specific phone service plans to distinct groups of customers. These groups are categorized into: single, working; married, working; and retired. A survey was conducted with 500 randomly selected potential customers where they were asked to identify the most important feature of a cell phone service plan. The features include: free nights and weekends, free long-distance and roaming, or free calls to customers within the same company. **Study Variables:** 1. **Type of Potential Customer:** - Single, working - Married, working - Retired 2. **Choice of Service Plan Feature:** - Free calls to other customers - Free nights and weekends - Free long-distance and roaming The contingency table summarizes the survey data, showing the observed frequency (f<sub>o</sub>), the expected cell frequency (f<sub>e</sub>), and the calculation for the test statistic using the formula: \[ \frac{(f_o - f_e)^2}{f_e} \quad (\text{Observed cell frequency} - \text{Expected cell frequency})^2 / \text{Expected cell frequency} \] **Part 1: Contingency Table Analysis** Complete the missing values in the table using the given data and round expected frequencies to two or more decimal places. Calculate the values for the test statistic and round off appropriately. - **Type of Potential Customer vs. Choice of Service Plan Feature** | | Free calls to other customers | Free nights and weekends | Free long-distance and roaming | Total | |--------------------|-------------------------------|--------------------------|--------------------------------|-------| | Single, working | 23 | 48 | 76 | 147 | | Married, working | 32 | 53 | 107 | 192 | | Retired | 44 | 49 | 68 | 161 | | **Total** | 99 | 150 | 251 | 500 | Fill in the blank values by calculating expected frequencies and rounding them to two or more decimal places. **Part 2: Hypothesis Testing** Summarize the hypothesis test to determine if there is a relationship between the type of potential customer and the choice of
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