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In: Statistics and Probability

Sleep deprivation, CA vs. OR. For a recent report on sleep deprivation, the Centers for Disease...

Sleep deprivation, CA vs. OR. For a recent report on sleep deprivation, the Centers for Disease Control and Prevention interviewed 11575 residents of California and 4783 residents of Oregon. In California, 903 respondents reported getting insufficient rest or sleep during each of the preceding 30 days, while 421 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. ?0:?1−?2=0H0:p1−p2=0, ??:?1−?2≠0HA:p1−p2≠0
B. ?0:?1−?2=0H0:p1−p2=0, ??:?1−?2>0HA:p1−p2>0
C. ?0:?1−?2=0H0:p1−p2=0, ??:?1−?2<0HA:p1−p2<0

2. Calculate the pooled estimate of the proportion for this test. ?̂p^ =

3. Calculate the standard error. SE =

4. Calculate the test statistic for this hypothesis test.  ? z t X^2 F  =

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

6. Based on the p-value, we have:
A. very strong evidence
B. strong evidence
C. extremely strong evidence
D. little evidence
E. some evidence
that the null model is not a good fit for our observed data.

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Expert Solution

orchestra answered 1 year ago
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