thirty nine percent of all americans drink bottled water more than once a week.suppose you have been hired by the Natural Resource Defence Council to investigate bottle water consumption in St.Paul. You plan to select a sample of St.Pauliyes to estimate 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 0.39.

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thirty nine percent of all americans drink bottled water more than once a week.suppose you have been hired by the Natural Resource Defence Council to investigate bottle water consumption in St.Paul. You plan to select a sample of St.Pauliyes to estimate 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 0.39.

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7.6: Sampling Distribution of p
invesigave pomed wacerconsumpuonin St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. As
k bottled water more than once a week ((Natural resources Defense Council, December 4, 2015). Suppose you have been hired by
who drink bottled water more than once a week is 0.39, 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 ofp (to 4 decimals).
0000
-0210
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
9872 3
c. Suppose you select a sample of 280 St.Paulites. Show the sampling distribution of p (to 4 decimals).
E(7)
.3900
0.0337
d. Based upon a smaller sample of only 280 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimal
probability
0.4514
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 smnaller sample in parts
0.2697
Have gain in precision by inereasing the sample,
ale Feedbaek
Partlally Correct
Lr
Transcribed Image Text:eBook 7.6: Sampling Distribution of p invesigave pomed wacerconsumpuonin St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. As k bottled water more than once a week ((Natural resources Defense Council, December 4, 2015). Suppose you have been hired by who drink bottled water more than once a week is 0.39, 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 ofp (to 4 decimals). 0000 -0210 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 9872 3 c. Suppose you select a sample of 280 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(7) .3900 0.0337 d. Based upon a smaller sample of only 280 St. Paulites, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimal probability 0.4514 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 smnaller sample in parts 0.2697 Have gain in precision by inereasing the sample, ale Feedbaek Partlally Correct Lr
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