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According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the...

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 0.09 for Oregon residents. These data are based on simple random samples of 11505 California and 4766 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.

1. What are the correct hypotheses for conducting 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)

A. H0:p1−p2=0H0:p1−p2=0 , HA:p1−p2>0HA:p1−p2>0
B. H0:p1−p2=0H0:p1−p2=0 , HA:p1−p2<0HA:p1−p2<0
C. H0:p1−p2=0H0:p1−p2=0 , HA:p1−p2≠0HA:p1−p2≠0

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

p̂ p^ =

3. Calculate the standard error for this test.

SE =

4. Calculate the test statistic for this hypothesis test.

z   =

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

p-value =

6. What is your conclusion using αα = 0.1?

A. Reject H0H0
B. Do not reject H0H0

math   Statistics-And-Probability   
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