Question

NAIVIE. 1. A city currently does not have a National Football League team. 68.5% of all the city residents are in favor of attracting NFL team. a. A random sample 850 of the city residents is selected, and asked if they would want an NFL team. Describe the sampling distribution of p, the proportion of the residents who want NFL team. b. In the sample obtained in part a, what is the probability the proportion of residents who want NFL team is greater than 67%? 6. What is the probability that 558 or fewer of the residents want the NFL team? Will this be unusual? 2. 585 of 1024 randomly selected adult Ghanaians aged 18 or older stated that a candidate's positions on the issue of family values are extremely or very important in determining their vote of president. Obtain a point estimate for the proportion of adult Ghanaians aged 18 or older who believe family values are extremely or very important in determining their vote for president. Construct and interpret a 90% confidence interval for the proportion of adult Ghanaians aged 18 or older who believe family values are extremely or very important in determining their vote for president. 3. Determine the point estimate of the population proportion (P), the margin of error (E) and the number of individuals in the sample with the specified characteristic (x) for the following intervals and sample size. a. Lower bound: 0.054, upper bound: 0.078, n = 2000. b. Lower bound: 0.853, upper bound: 0.871, n = 8500

Answer 1

1) proportion of all the city residents that are in favor of attracting NFL team is p = 0.685

a) for random sample of n = 850, smpling distribution of $\widehat{p}$ is

P(1-P) Ơi - Vn 0.685(1 -0.685) 850 = 0.0159

b) the probability that the proportion of residents who wants NFL is greater than 0.67 is

P(Z > 0.67 -0.685 00) = P(Z > -0.9434) = 0.8273 0,0159

c) for the number of residentsin favour

A = nA = 850 % 0.685 = 582.25

o = Vnp(1-P) = 850 * 0.685+ (1 - 0.685) = 13.5428

the probability that 558 or fewer wants the NFL team is