Suppose a study was conducted to compare the sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.8%, while this proportion is 7% for Oregon residents. These data are based on simple random samples of 1,545 California and 1,460 Oregon adult 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. Use California as Group A and Oregon as Group B. Test statistic (Round to 4 decimal places): p-value (round to 4 decimal places): Conclusion at the 5% level of significance: We accept the null hypothesis. We reject the null hypothesis. We fail to reject the null hypothesis. b) It is possible the conclusion of the test in part (a) is incorrect (contradicts with the reality). If this is the case, what type of error was made? Type I Error Type III Error Type II Error A combination of Type I and α error Type α error
Suppose a study was conducted to compare the sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.8%, while this proportion is 7% for Oregon residents. These data are based on simple random samples of 1,545 California and 1,460 Oregon adult 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. Use California as Group A and Oregon as Group B.
Test statistic (Round to 4 decimal places): p-value (round to 4 decimal places): Conclusion at the 5% level of significance:
- We accept the null hypothesis.
- We reject the null hypothesis.
- We fail to reject the null hypothesis.
b) It is possible the conclusion of the test in part (a) is incorrect (contradicts with the reality). If this is the case, what type of error was made?
- Type I Error
- Type III Error
- Type II Error
- A combination of Type I and α error
- Type α error
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