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**complete the four uploaded documents. answers must be underlined or in red. show all work. 

** Answer the two questions below.
QUESTION 1


The 2006 General Social Survey contains information on the number of years of education that respondents have completed.

Table 7.1

  1. Calculate a 99 percent confidence interval for the total sample of respondents described in the table.
  2. Calculate a 95 percent confidence interval for whites, blacks, and those of other races.
  3. We introduced the idea of there being a tradeoff between the confidence and precision of our confidence intervals. Demonstrate this tradeoff by recalculating your answer to Question #1, only this time at 68 percent confidence. Discuss your results.
  4. Calculate the most precise confidence interval possible for the total sample. You must choose one of the following confidence levels: 68%, 95%, or 99%. You must also select one of the following sample sizes: 100, 1,000, or 10,000. Be sure to discuss your rationale for choosing a particular level of confidence and a particular sample size.
QUESTION 2.

he 2006 General Social Survey contains information on the number of years of education that respondents have completed. The data are presented below.

Table 8.1

  1. Suppose for the moment that the black population has a mean educational level of 13.12 years with a standard deviation of 3.11. What is the appropriate test for determining whether the sample mean differs from the population mean? What are the assumptions underlying this test?
  2. What is the null hypothesis for the test you identified in Question #1?
  3. Calculate the value of the test statistic you identified in Question #1 using alpha 0.05.
  4. Using the appropriate table, determine whether we are able to reject the hypothesis or not? What do you conclude?










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