A survey of all medium- and large-sized corporations showed that 60% of them offer retirement plans to their employees. Let pbe the proportion in a random sample of 50 such corporations that offer retirement plans to their employees. Find the probability that the value of pwill be between 0.49 and 0.58. Round your answer to four decimal places. P(0.49 < p < 0.58)

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**Question 7.6.3**

A survey of all medium- and large-sized corporations showed that 60% of them offer retirement plans to their employees. Let \( \hat{p} \) be the proportion in a random sample of 50 such corporations that offer retirement plans to their employees. Find the probability that the value of \( \hat{p} \) will be between 0.49 and 0.58.

Round your answer to four decimal places.

\[ P(0.49 < \hat{p} < 0.58) = \] [Input box]

**Explanation:**

The question involves calculating the probability that the sample proportion \( \hat{p} \) falls within a specific interval (0.49 to 0.58) given the population proportion is 0.60 and the sample size is 50. This typically involves using techniques from sampling distributions and perhaps employing a normal approximation. There are no graphs or diagrams accompanying this text.
Transcribed Image Text:**Question 7.6.3** A survey of all medium- and large-sized corporations showed that 60% of them offer retirement plans to their employees. Let \( \hat{p} \) be the proportion in a random sample of 50 such corporations that offer retirement plans to their employees. Find the probability that the value of \( \hat{p} \) will be between 0.49 and 0.58. Round your answer to four decimal places. \[ P(0.49 < \hat{p} < 0.58) = \] [Input box] **Explanation:** The question involves calculating the probability that the sample proportion \( \hat{p} \) falls within a specific interval (0.49 to 0.58) given the population proportion is 0.60 and the sample size is 50. This typically involves using techniques from sampling distributions and perhaps employing a normal approximation. There are no graphs or diagrams accompanying this text.
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