Question

Question 3 10 points Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 56, X = 30; 95% confidence O 0.425 < p < 0.647 0.404 <p <0.668 0.405 <p <0.667 0.426 <p <0.646

Answer 1

9. 3. gireni n=56, a=30 faz0.05 » P22/2 = 306 56 = 0.5357 A 95% confidence internal for the population proportion 'p' is given by? § 2 Za zł ↑ Zarzt I Å I Å (12) 0.5357 + Zoioas Х O'S357x 0.4643 Here azonos 56 »/220'025 0.5357 I 1.96x 0.00444 using z Z table 20.025=1196 .. 0'53577 1:96x0.0666 0.5357 7 0.1306 (0.5357-0.1306, 0.5357+0.1305) (0.4051, 0:666 3) : 0.405<P<0.667 :.Coreet choice is ii) 0.405<p<0.667

9.7 given: n=5900, o ł=1770 margin of Emor at g9% confidence is Ez Zay, Î (1-P) where h = 70 5900 27-0.3 "E=Zooos 0+3x0.7 5900 -- 2.58X 0.0000 3559 ll z table Z0.005=2.58 2-58X0.005966 -0.01539 E=0.0154 6= 6.5 mean 9.8 Giveni na 104, ă= 95.3 A 99% confidence interval for population is given by: (ã - zavzeto a + Zayet en (95-3 - Zoof * 6.5 95:37 20.00x 6.5 J104 104

19503-2:580.6374, 95.37 2658*0*6374) (953-1-6444, 95.3+1.6444) (93.65,96.94) . 93.7 <ul 96.9 9. 9. Z critical value corresponds to a 91% confidence level is 20.09 2 - Z0.045 "Qa0.09 = l 70 by using Z table. i. Zair=1270