Introduction to Statistics Quiz: Assignment #20 (Sampling distribution counts and proportions) Name: 1. The number of US residents who approve of Joe Biden's conducting of the presidency is .38. If you take a random sample of 200 US residents, answer the following questions: Counts:' - themger samis Hx = np tree ox = Vnp(1 - p) (a) The mean number US residents (in the sample of 200) who have approve of Joe Biden's performance (round to nearest whole number): PO . 38 N= A x : Pxn UX- 38 (200) sample size : 200 ux : 76 Statistics (b) Standard deviation of the number of people who approve of Biden's performance: Quiz #20 V ( oo x . 38) ( 1 - 38 ) + 120ox. 38 x. 62 -SC Imean = 6. 80 (c) What is the likelihood that in a SRS or 200 US residents you find 80 or more who approve of Biden's performance? 2: (80 - 760 ) 16.80 4 /6. 80 6.5 83 Compute the z score, then initially plot it on the provided graph to give you a rough idea before computing your probability. Use your Probabilities Table to determine probability associated with the z score. prob associated w a zof.58 = 17190 1- 7190 - 2 810 -30 -20 -10 10 20 30 p(1-p) Proportions: Mp = P op 100- 38 n AJ . 38 = 62 Gen The mean proportion of US residents who approve Biden's performance: ( P( i - P ) . 38 C, Cig 2350 1034