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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 390 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) = Op = b. What is the probability that the sample proportion will be within 10.03 of the population proportion? Round your answer to four decimals. (to 2 decimals) (to 4 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 This is because the increase in the sample size makes the standard error, o, - Select your answer -

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 390 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) = Op = b. What is the probability that the sample proportion will be within 10.03 of the population proportion? Round your answer to four decimals. (to 2 decimals) (to 4 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 This is because the increase in the sample size makes the standard error, o, - Select your answer -

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**Sampling Distribution and Probability Calculation** According to *Reader's Digest*, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table for calculations. **a. Sampling Distribution** - Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. \( E(\overline{p}) = \) [to 2 decimals] \( \sigma_{\overline{p}} = \) [to 4 decimals] **b. Probability Calculation 1** - What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. [Blank for answer] **c. Probability Calculation 2** - What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. [Blank for answer] **d. Effect of Larger Sample Size** - 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 dropdown]. This is because the increase in the sample size makes the standard error, \( \sigma_{\overline{p}} \), [Select your answer dropdown].
Transcribed Image Text:**Sampling Distribution and Probability Calculation** According to *Reader's Digest*, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table for calculations. **a. Sampling Distribution** - Suppose a sample of 390 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. \( E(\overline{p}) = \) [to 2 decimals] \( \sigma_{\overline{p}} = \) [to 4 decimals] **b. Probability Calculation 1** - What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. [Blank for answer] **c. Probability Calculation 2** - What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. [Blank for answer] **d. Effect of Larger Sample Size** - 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 dropdown]. This is because the increase in the sample size makes the standard error, \( \sigma_{\overline{p}} \), [Select your answer dropdown].
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