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Check My Work NO eBook Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals). E()= = 0.33 σ = 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability = 0.9867 c. Suppose you select a sample of 250 St.Paulites. Show the sampling distribution of (to 4 decimals). E(p) = = 0.33 σ =0.0297 στ d. Based upon a smaller sample of only 250 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). X probability == 0.9077 e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)? Reduced by 0.0870 Have gain in precision by increasing the sample. 80 F3 000 000 F4 % MacBook Air F5 F6 & F7 F8 F9 FIO C C

Check My Work NO eBook Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals). E()= = 0.33 σ = 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability = 0.9867 c. Suppose you select a sample of 250 St.Paulites. Show the sampling distribution of (to 4 decimals). E(p) = = 0.33 σ =0.0297 στ d. Based upon a smaller sample of only 250 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). X probability == 0.9077 e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)? Reduced by 0.0870 Have gain in precision by increasing the sample. 80 F3 000 000 F4 % MacBook Air F5 F6 & F7 F8 F9 FIO C C

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Check My Work NO eBook Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals). E()= = 0.33 σ = 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability = 0.9867 c. Suppose you select a sample of 250 St.Paulites. Show the sampling distribution of (to 4 decimals). E(p) = = 0.33 σ =0.0297 στ d. Based upon a smaller sample of only 250 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). X probability == 0.9077 e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)? Reduced by 0.0870 Have gain in precision by increasing the sample. 80 F3 000 000 F4 % MacBook Air F5 F6 & F7 F8 F9 FIO C C
Transcribed Image Text:Check My Work NO eBook Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of (to 4 decimals). E()= = 0.33 σ = 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). probability = 0.9867 c. Suppose you select a sample of 250 St.Paulites. Show the sampling distribution of (to 4 decimals). E(p) = = 0.33 σ =0.0297 στ d. Based upon a smaller sample of only 250 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals). X probability == 0.9077 e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in parts (a) and (b) rather than the smaller sample in parts (c) and (d)? Reduced by 0.0870 Have gain in precision by increasing the sample. 80 F3 000 000 F4 % MacBook Air F5 F6 & F7 F8 F9 FIO C C
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