In: Statistics and Probability
Questions A - F
A recent survey of 1000 American women between the ages of 45 and 64 asked them what medical condition they most feared. Of those sampled 61% said breast cancer, 8% said heart disease, and the rest picked other conditions. By contrast, currently about 3% of female deaths are due to breast cancer, whereas 32% are due to heart disease.
A. Construct a 95% confidence interval for the population proportion of women who most feared breast cancer.
In the 2006 General Social Survey, respondents were asked if they favored or opposed the death penalty for people convicted of murder. Of the 2815 who responded, 1885 were in favor of the death penalty.
B. Compute a point estimate for those in favor of the death penalty.
C. Construct a 99% confidence interval for the population proportion favoring the death penalty for people convicted of murder. Round the proportion to 3 decimal places (for example, 0.123 is a proportion to 3 decimal places).
D. Construct a 90% confidence interval for the population proportion favoring the death penalty for people convicted of murder. Round the proportion to 3 decimal places (for example, 0.123 is a proportion to 3 decimal places).
A March 2020 online survey of GVSU STA 215 students asked if they went to Florida during Spring Break week. Assume this convenience sample is a good representation of the GVSU student population. The 95% confidence interval to estimate the GVSU student population proportion who went to Florida is as follows: (0.151, 0.585). The sample size n = ?, p̂ = ?, and 1 − p̂ = ?. Find p̂, the sample proportion of GVSU students who went to Florida and find the margin of error (M.O.E.) for this estimate.
E. p̂ =
F. Margin of Error =