Question

Sleep deprivation, CA vs. OR. For a recent report on sleep deprivation, the Centers for Disease Control and Prevention interviewed 11545 residents of California and 4745 residents of Oregon. In California, 947 respondents reported getting insufficient rest or sleep during each of the preceding 30 days, while 408 of the respondents from Oregon reported the same. Round each calculation to 4 decimal places.

1. Using California as population 1 and Oregon as population 2, 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?

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 the proportion for this test. p^p^ =

3. Calculate the standard error. SE =

4. Calculate the test statistic for this hypothesis test. ?ztX^2F =

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

6. What is your conclusion using αα = 0.1?
A. Do not reject H0H0
B. Reject H0H0

Answer 1