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 each of the preceding 30 days is 0.081, while this proportion is 0.088 for Oregon residents. These data are based on simple random samples of 11538 California and 4645 Oregon residents. Let p1p1 be the proportion of California residents and p2p2 be the proportion of Oregon residents, and report all answers to 4 decimal places.

a. Calculate the pooled estimate of a proportion for this test.

b. Calculate the standard error for this test.

c. Calculate the test statistic for this hypothesis test.

d. Calculate the p-value for this hypothesis test.

Answer #1

Number of residents in the simple random samples of California :
n_{1} = 11538

Number of residents in the simple random samples of California :
n_{2} = 4645

Proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days : Sample proportion for California residents : =0.081

Sample proportion for Oregon residents: = 0.088

a . Pooled estimate of a proprotion for this test :

Standard Error for this test : SE

c. Test Statistic for this test:

For Two tailed test :

For Left tailed test

For Right tailed test:

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