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Chapter 9: Q. 7 (page 537)
In a population of fish, approximately are female. A test is conducted to see if, in fact, the proportion is less. State the null and alternative hypotheses.
The required value are
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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.
"Untitled," by Stephen Chen
I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with
known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually
use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an
error occur, the likelihood of generating an error is 1%.
So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates,
but more often. To find out if my test program is better than the original, so that I can convince the management that I'm
right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I
generated the error twice. While this may not seem much better, I think that I can convince the management to use my test
program instead of the original test program. Am I right?
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
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 .
Draw the graph of a two-tailed test.
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