Chapter 9: Q. 51 (page 539)
Assume and Is this a left-tailed, right-tailed, or two-tailed test?
A two-tailed test is used.
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Draw the graph of a two-tailed test.
The National Institute of Mental Health published an article stating that in any one-year period, approximately percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i.
ii.role="math" localid="1649760873126"
iii.
g. Calculate role="math" localid="1649760901479" Show the formula set-up.
h. State the distribution to use for the hypothesis test.
i. Find the -value.
j. At a pre-conceived , what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
Over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin?
After conducting the test, your decision and conclusion are
a. Reject H0: There is sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.
b. Do not reject H0: There is not sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.
c. Do not reject H0: There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.
d. Reject H0: There is sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.
Determine both Typeand Typeerrors for the following scenario:
Assume a null hypothesis,, that states the percentage of adults with jobs is at least .
Identify the Typeand Type errors from these four statements.
a. Not to reject the null hypothesis that the percentage of adults who have jobs is at least when that percentage is actually less than
b. Not to reject the null hypothesis that the percentage of adults who have jobs is at least when the percentage is actually at least .
c. Reject the null hypothesis that the percentage of adults who have jobs is at least when the percentage is actually at least .
d. Reject the null hypothesis that the percentage of adults who have jobs is at least when that percentage is actually less than .
Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California’s percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data.
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