random samples of 11,559 California and 4,685 Oregon residents. Calculate a 95% confidence interval for the differer ca. (Use pCA - Po8: Round your answers to two decimal places.)

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According to a report on sleep deprivation, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.6% for Oregon residents. These data are
based on simple random samples of 11,559 California and 4,685 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in
context of the data. (Use pCA - P OP: Round your answers to two decimal places.)
Before calculating the interval, we should check that the conditions are satisfied. The sample is
random and the sample represents less than
10% of all California and Oregon residents. Therefore whether or not
one person in the sample reported insufficient rest or sleep is
independent of another. The success-failure condition is
met since the number of successes and failures is greater than V
10. So, we are
95% confident that the difference between the proportions of Californians and Oregonians who are sleep deprived is between
% and
%.
Transcribed Image Text:According to a report on sleep deprivation, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.6% for Oregon residents. These data are based on simple random samples of 11,559 California and 4,685 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in context of the data. (Use pCA - P OP: Round your answers to two decimal places.) Before calculating the interval, we should check that the conditions are satisfied. The sample is random and the sample represents less than 10% of all California and Oregon residents. Therefore whether or not one person in the sample reported insufficient rest or sleep is independent of another. The success-failure condition is met since the number of successes and failures is greater than V 10. So, we are 95% confident that the difference between the proportions of Californians and Oregonians who are sleep deprived is between % and %.
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