Question

Question 9 20 pts Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 396 x = 48 Question 10 20 pts Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke. O 12.4% <p 27.6% O 14.6% <p 25.4% O 13.6% <p < 26.4% O 11.6% <p < 28.4% 20 pts Question 11 Use the confidence level and sample data to find a confidence interval for estimating the population u. Round your answer to the nearest tenth if necessary. Test scores: n = 100, 1 = 92,0 - 20: 90% confidence

Answer 1

(9) (100-95)% = 5% = 0.05, = 12 48 396 n2396, 2 Za2 20.025 - 1.96 Ez Zx12. Î LI- 0, 032) n (100-99)% = 1% -0.01, ZXp2 = Z0,0 of 2.576, ů = 1/2 30 150 0. 20, na 150 P + Zx12. Å (1) :: 99% CI for p = 0.1162 p <0.284 11.6% < p < 28.4%, (1) - 1100-909% - 10% = 0.10, n = 100 92, o=20 Zx12= 2o.o5 1.645. u + Zxz 188. 7. cuc95.3 : 90% CI for la ble