a. Suppose you select a sample of 540 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) = 0.33 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.09 of the population proportion (to 4 decimals). probability = c. Suppose you select a sample of 190 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) = Op

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Homework 18: Sec 7.6 - 27, 35, 37
i
Questions
Exercise 07.35 Algorithmic
« Question 2 of 3 ►
1.
Check My Work
2.
A-Z
3.
еBook
O Office
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 popluation proportion of St. Paulites
who drink bottled water more than once a week is 0.33, the same as the overall
proportion
An
ericans who drink bottled
more than once a week. Use z-table.
a. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of p
(to 4 decimals).
E(F):
0.33
0.0202
b. Based upon a sample of 540 St. Paulites, what is the probability that the sample
proportion will be within 0.09 of the population proportion (to 4 decimals).
probability
c. Suppose you select a sample of 190 St.Paulites. Show the sampling distribution of p
(to 4 decimals).
E(p) =
Op
||
d. Based upon a smaller sample of only 190 St. Paulites, what is the probability that the
sample proportion will be within 0.09 of the population proportion (to 4 decimals).
probability
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
Have gain in precision by increasing the sample.
Hide Feedback
Partially Correct
Check My Work
0= Icon Key
Transcribed Image Text:9:41 PM Fri Oct 30 * 43% AA ng.cengage.com CENGAGE MINDTAP Q Search this course Homework 18: Sec 7.6 - 27, 35, 37 i Questions Exercise 07.35 Algorithmic « Question 2 of 3 ► 1. Check My Work 2. A-Z 3. еBook O Office 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 popluation proportion of St. Paulites who drink bottled water more than once a week is 0.33, the same as the overall proportion An ericans who drink bottled more than once a week. Use z-table. a. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of p (to 4 decimals). E(F): 0.33 0.0202 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.09 of the population proportion (to 4 decimals). probability c. Suppose you select a sample of 190 St.Paulites. Show the sampling distribution of p (to 4 decimals). E(p) = Op || d. Based upon a smaller sample of only 190 St. Paulites, what is the probability that the sample proportion will be within 0.09 of the population proportion (to 4 decimals). probability 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 Have gain in precision by increasing the sample. Hide Feedback Partially Correct Check My Work 0= Icon Key
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