(Steps Shown) Testing a proportion You work for the public relations department of the Social Security Administration. In an effort to design better advertising
Question: Testing a proportion
You work for the public relations department of the Social Security Administration. In an effort to design better advertising campaigns your department decides to conduct a survey to find out opinions people in the U.S. have about the Social Security system. One of the questions asked and the results of each response and the age of the respondent’s are shown in the following table:
| Age | Response |
| 83 | Yes |
| 37 | No |
| 49 | No |
| 27 | Yes |
| 27 | No |
| 59 | Yes |
| 44 | Yes |
| 46 | No |
| 25 | No |
| 30 | No |
| 72 | Yes |
| 66 | No |
| 47 | No |
| 47 | No |
| 50 | Yes |
| 76 | Yes |
| 51 | Yes |
| 58 | No |
| 79 | Yes |
| 69 | Yes |
| 66 | No |
| 35 | Yes |
| 47 | No |
| 29 | Yes |
| 76 | No |
| 31 | Yes |
| 40 | No |
| 61 | Yes |
| 30 | Yes |
| 71 | No |
| 64 | No |
| 18 | No |
Test the claim that less than 40% of people in the US. think the Social Security system will have enough money for their retirements. Use \(\alpha =0.10\).
Deliverable: Word Document 