Question

1.) 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 the opinions people in the United States have about the Social Security system. One of the questions asked and the results of each response and the respondents’ age are shown in the table (provided in the Table 1 below1 ). Your department believes that at most 40% of people in the United States think the Social Security system will have money available to provide the benefits they expect for their retirements. Also, your department believes that the mean age of people in the Unit States who would say yes to this question is 60 years or older. As a research analyst for the department, you must work with the data and determine if these claims can be supported or rejected.

2.) Test the claim that at most 40% of people in the United States think the Social security system will have money available to provide the benefits they expect for their retirements. Use Level of Significance α = 0.10. Write a paragraph that interprets the test’s decision. Does the decision support your department’s claim? Testing a Mean: Sampling Distribution Test the claim that the mean age of people in the United States who would say yes to the survey question shown in Table 1 is 60 years or older. Use Level of Significance α = 0.10 and assume that the population is normally distributed. Write a paragraph that interprets the test’s decision. Is there enough evidence to reject your department’s claim?

3.) What is your conclusion? On the basis of your analysis of the responses to this survey question, what would you tell your department?

Table 1:

Survey Adapted from Newsweek

Age Response

83 Yes

51 Yes

37 No

58 No

49 No

79 Yes

27 Yes

69 Yes

27 No

66 No

59 Yes

35 Yes

44 Yes

47 No

46 No

29 Yes

25 No

76 No

30 No

31 Yes

72 Yes

40 No

66 No

61 Yes

47 No

30 Yes

47 No

71 No

50 Yes

64 No

76 Yes

18 No

Answer 1

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