Assume that the population proportion is 0.55. Compute the standard error of the proportion, 05, for sample sizes of 100, 200, 500, and 1000 (to 4 decimals). n = 100 n = 200 n = 500 n = 1000 What can you say about the size of the standard error of the proportion as the sample size is increased? - Select your answer - v The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table. Not Al d a. ASsurmre oo e president is correct and p = 0.30. What is the sampling distribution of p for this study? - Select your answer - v b. What is the probability that the sample proportion will be between 0.20 and 0.40 (to 4 decimals)? c. What is the probability that the sample proportion will be between 0.25 and 0.35 (to 4 decimals)? The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a simple random sample of 800 households will be selected from the population. Use the z-table. S,Na\\f'gafipr],','{e?g,1pling distribution of P, the sample proportion of households spending more than $100 per week on groceries. E(p) = (to 2 decimals) op = (to 4 decimals) b. What is the probability that the sample proportion will be within 0.02 of the population proportion (to 4 decimals)? c. Answer part (b) for a sample of 1600 households (to 4 decimals)