ng habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was
ng habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is
H0:
p=0.26
and the alternative hypothesis is
Ha: p>0.26.
The researcher collected data from a random sample of 75 adults in the region of interest. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is
H0:
p=0.26
and the alternative hypothesis is
Ha: p > 0.26.
The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that the conditions that must be met in order for us to use the N(0, 1) distribution as the sampling distribution are satisfied. Find the values of the sample proportion,
p,
the test statistic, and the p-value associated with the test statistic. Round all values to the nearest thousandth.p=0.289,
z=−0.829,
p-value=0.407
p=0.333,
z=0.067,
p-value=0.946
p=0.333,
z=1.586,
p-value=0.056
p=0.667,
z=8.795,
p-value=
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