MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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According to the Pew Research Center, 29% of Americans have not read a book in the past year. Let \(\hat{p}\) be the proportion of people that have not read a book in the past year in a random sample of 948 Americans. Determine the following probabilities. Round probability solutions to four decimal places and \(\hat{p}\) values to two decimal places, if necessary.

1. Find the probability that in a random sample of 948 Americans, at most 313 people have not read a book in the past year.

   \[ P(\hat{p} \leq \_\_\_\_\_) = \_\_\_\_\_ \]

2. Find the probability that in a random sample of 948 Americans, between 237 and 303 people have not read a book in the past year.

   \[ P(\_\_\_ < \hat{p} < \_\_\_\) = \_\_\_\_\_ \]
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Transcribed Image Text:According to the Pew Research Center, 29% of Americans have not read a book in the past year. Let \(\hat{p}\) be the proportion of people that have not read a book in the past year in a random sample of 948 Americans. Determine the following probabilities. Round probability solutions to four decimal places and \(\hat{p}\) values to two decimal places, if necessary. 1. Find the probability that in a random sample of 948 Americans, at most 313 people have not read a book in the past year. \[ P(\hat{p} \leq \_\_\_\_\_) = \_\_\_\_\_ \] 2. Find the probability that in a random sample of 948 Americans, between 237 and 303 people have not read a book in the past year. \[ P(\_\_\_ < \hat{p} < \_\_\_\) = \_\_\_\_\_ \]
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