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STAT 211 Business Statistics I 10 Q6. (2+6+4=12 pts.) CNN TV poll asked 814 adults to respond to a series of questions about their feelings toward the state of affairs within the USA. A total of 562 adults responded “Yes” to the question: “Do you feel things are going well in the United States these days” a. What is the point estimate of the proportion of the adult population who feel thing are going well in the USA b. What is the 90% confidence interval for the proportion of the adult population who feel thing are going well in the USA c. How large a sample would be necessary to estimate the true proportion of the adult who feel thing are going well in the USA within 3%, with 95% confidence Assume p =0.69.
STAT 211 Business Statistics I 11 Q7. (2+6+4=12 pts.) An urban planning group is interested in estimating the difference between the mean household incomes for two neighborhoods in a large area. Independent random samples of households in the neighborhoods provided the following results. Neighborhood 1 Neighborhood 2 Sample size=8 Sample size=12 Sample mean=$15700 Sample mean $14500 Sample St. Deviation=$700 Sample St. Deviation=850 a. Find point estimate for the difference between the mean incomes in the two neighborhoods. b. Find a 95% confidence interval for the difference between the mean incomes. c. What assumptions were made to compute the interval estimate in part (b)
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