According to Reader's Digest, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 310 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 bar)=(to 2decimals) Sigma subscript p bar= (to 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 - Select your answer -(increase/decrease) . This is because the increase in the sample size makes the standard error, , - Select your answer -(larger/smaller) .
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
According to Reader's Digest, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table.
a. Suppose a sample of 310 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 bar)=(to 2decimals)Sigma subscript p bar= (to decimals)
b. What is the
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 - Select your answer -(increase/decrease) . This is because the increase in the
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