MULTI-PART Question: (4 parts)
According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during the on each of the preceding 30 days is 8.0% while this proportion is 8.8% for Oregon residents. A random sample of 11,545 California and 4,691 Oregon residents were surveyed. We are interested in finding out if there is evidence to suggest that the rate of sleep deprivation is different for the two states.
1. What are the hypotheses?
a. H0: μ1 = μ2; Ha: μ1 ≠ μ2
b. H0: p1 = p2; Ha: p1 ≠ p2
c. H0: p1 = p2; Ha: p1> p2
d. H0: μ1 = μ2; Ha: μ1 > μ2
2. What statistical method is appropriate for testing if the rate of sleep deprivation is different for the two states? (Select one)
a. two proportion z-test
b. two sample t-test
c. one proportion z-test
d. paired t-test
e. one sample t-test
3. Assume we find a p-value of 0.093 using a significance level of 0.05. Would we expect to capture 0 in a 95% confidence interval?
Select one:
a. Yes since we failed to reject the null hypothesis.
b. No since we failed to reject the null hypothesis.
c. No since we failed to reject the null hypothesis.
d. Yes since we rejected the null hypothesis.
4. Can we conclude causation? (Select one)
a. Yes because this is an observational study.
b. No because this is an observational study.
c. Yes because this is a controlled experiment.
d. No because this is a controlled experiment.
1)
b. H0: p1 = p2; Ha: p1 ≠ p2 (since we are checking if proportion are different)
2)
a. two proportion z-test
3)
a. Yes since we failed to reject the null hypothesis. (as p value >0.05)
4)
b. No because this is an observational study.
MULTI-PART Question: (4 parts) According to a report on sleep deprivation by the Centers for Disease...
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