please help Assignment: Chapter 7 homework Assignment Score: 95.59 Submit Assign
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Assignment: Chapter 7 homework Assignment Score: 95.59 Submit Assignment for Gradin «Question 50 Check My Work Email Instructor ave Exit Questions Exercise 07.35 eBook Thirty-six 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 Defense Counal to investigate bottled water nsumption in St. Paul. You plan to select a sample of St. Pau ites to estimate the pr portion who drink bottled water more than once a week Asume the poulaxa proportin Paulites who drink bottled water more than once a week is 0.36, 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 p (to 4 decimals). 0.0207 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals) probability = 0.9472 C. Suppose you select a sample of 200 St-Paulites. Show the sampling distribution of (to 4 decinas. E(F)-1-0.36 = 0.0339 d. Based upon the smaller sample of only 200 St. Paulites, what is the probability that the sample proportion will be within 0.04 of the population proportion (to 4 decimals). probability-0.0.76: 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)? -- (O 0.1858 * Reduced by -- Have gain in precision by increasing the sample.Explanation / Answer
d)
Z =(p - 0.36)/0.0339
P ( 0.32<X<0.40 )=P ( 1.18<Z<1.18 )
=0.761976
=0.7620
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