Test 2 Initials: 5 4 Statistics 2470 5. The Pew Forum on Religion and Public Life reported on Dec. 9, 1999 that in a survey of 2003 American adults, 37% said they believed in astrology. (a) (4 points) Calculate a confidence interval at the 95% confidence level for the proportion of all adult Americans who believe in astrology. P= propation of all people who believe in astrology PEO. 37 1 X = 37 * = 0. 37 CJ = 951. P Interval x = 37 1 = 1X2 2003 - 3 0 . 27 53 7 - 0- 46 463 (b) (3 points) Interpret the confidence interval calculated in part 5(a). If we take the sample of 100 people infuthey ubelieve in astrology or noty we can expect that there would be 24/537 4. to 46. 46 4. 12 believe in astrology (c) (4 points) What sample size would be required for the width of a 99% Cl to be at most 0.05 irrespective of the value of p? - CI = 99% 0. 025 LE = 0n25 1 = [ 2 # ] 2 8 1 1 - P ) 2 = 2. 575 - 0. 05 = 12.875 72 (0. 37 ) ( 0 . 63 ) 618-213 914 - 6195 people 5 6 |Page