Example Exercise: 6.24 (Advanced High School Statistics & OpenIntro Statistics)

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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 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents.
(a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. (Reminder: Check conditions)
(b) It is possible the conclusion of the test in part (a) is incorrect. If this is the case, what type of error was made?
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