Question

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. 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 rejected 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 failed to reject the null hypothesis.

Answer 1

d. Yes since we failed to reject the null hypothesis.

p1	p2	pc
0.08	0.088	0.0823	p (as decimal)
924/11545	413/4691	1336/16236	p (as fraction)
923.6	412.808	1336.408	X
11545	4691	16236	n
	-0.008	difference
	0.	hypothesized difference
	0.0048	std. error
	-1.68	z
	.0927	p-value (two-tailed)
	-0.0175	confidence interval 95.% lower
	0.0015	confidence interval 95.% upper
	0.0095	margin of error

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