Question

In: Statistics and Probability

According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care....

According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care.

a. Suppose a sample of 370 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. Use z-table.

E(p) =

ơp = (to 4 decimals)

b. What is the probability that the sample proportion will be within ±0.03 of the population proportion. Round your answer to four decimals.

c. What is the probability that the sample proportion will be within ±0.05 of the population proportion. Round your answer to four decimals.

d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why?

The probabilities would _____ (decrease/increase). This is because the increase in the sample size makes the standard error, ơp , ____ (larger/smaller)

Solutions

Expert Solution


Related Solutions

According to Readers Digest, 42% or primary care doctors think their patients receive unnecessary medical care....
According to Readers Digest, 42% or primary care doctors think their patients receive unnecessary medical care. a) Suppose a sample of 300 primary care doctors was taken. Show the sampling distribution of the proportion of doctors who think their patients receive unnecessary medical care. b) What is the probability that the sample proportion will be within +/- 0.03 of the population proportion? c) What is the probability that the sample proportion will be within +/- 0.05 of the population proportion?...
According to Readers Digest, 49% of primary care doctors think their patients receive unnecessary medical care....
According to Readers Digest, 49% of primary care doctors think their patients receive unnecessary medical care. Use z-table. a. Suppose a sample of 290 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= O(p)= b. What is the probability that the sample proportion will be within (plus/minus) 0.03 of the population proportion. Round your answer to four decimals. c. what is the probability that the...
Forty-three percent of primary care doctors think their patients receive unnecessary medical care. If required, round...
Forty-three percent of primary care doctors think their patients receive unnecessary medical care. If required, round your answer to four decimal places. (a) Suppose a sample of 300 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care. np = n(1-p) = E(p) = σ(p) = (b) Suppose a sample of 500 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think...
Twenty-nine percent of primary care doctors think their patients receive unnecessary medical care. If required, round...
Twenty-nine percent of primary care doctors think their patients receive unnecessary medical care. If required, round your answer to four decimal places. (a) Suppose a sample of 300 primary care doctors was taken. Show the distribution of the sample proportion of doctors who think their patients receive unnecessary medical care. np = n(1-p) = E (p) = σ(p) = (b) Suppose a sample of 500 primary care doctors was taken. Show the distribution of the sample proportion of doctors who...
What are some of the problems that arise for both patients and doctors when medical care...
What are some of the problems that arise for both patients and doctors when medical care is highly specialized? Why do you think other countries do not allow advertising for prescription drugs? Why do you think we still do? ESCAPE FIRE follows Yvonne Osborne, who has been in treatment for heart disease for over 15 years. What mistakes are noted in her care? What have these mistakes cost in terms of money, risk, and the emotional distress?
According to a 2009 Reader's Digest article, people throw away approximately 20% of what they buy...
According to a 2009 Reader's Digest article, people throw away approximately 20% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 200 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.05 and 0.13? Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Answer = (Enter your answer as a number...
According to a 2009 Reader's Digest article, people throw away approximately 14% of what they buy...
According to a 2009 Reader's Digest article, people throw away approximately 14% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 176 grocery shoppers to investigate their behavior. What is the probability that the sample proportion exceeds 0.17? A Food Marketing Institute found that 28% of households spend more than $125 a week on groceries. Assume the population proportion is 0.28 and a simple random sample of 152 households...
2. According to a 2009 Reader's Digest article, people throw away approximately 18% of what they...
2. According to a 2009 Reader's Digest article, people throw away approximately 18% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 84 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.06 and 0.13?
according to a 2009 Reader's Digest article, people throw away approximately 16% of what they buy...
according to a 2009 Reader's Digest article, people throw away approximately 16% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 209 grocery shoppers to investigate their behavior. What is the probability that the sample proportion is between 0.1 and 0.16? Correct answer is 0.4909, can u show me how.
According to a 2009 Reader's Digest article, people throw away about 9% of what they buy...
According to a 2009 Reader's Digest article, people throw away about 9% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 122 grocery shoppers to investigate their behavior. What is the probability that the sample proportion does not exceed 0.10? Standard Deviation of Sample Proportion:      Answer format: .#### z score:      Answer format: .#### Probability:     Answer format: .#### Note: You should keep standard deviation of phat #, z score and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT