Chapter 9: Q.50 (page 539)
Assume and Is this a left-tailed, right-tailed, or two-tailed test?
It is right-tailed test.
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Some of the following statements refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, , and the alternative hypothesis. Ha, in terms of the appropriate parameter .
a. The mean number of years Americans work before retiring is .
b. At most 60% of Americans vote in presidential elections.
c. The mean starting salary for San Jose State University graduates is at least per year.
d. Twenty-nine percent of high school seniors get drunk each month.
e. Fewer than of adults ride the bus to work in Los Angeles.
f. The mean number of cars a person owns in her lifetime is not more than ten.
g. About half of Americans prefer to live away from cities, given the choice.
h. Europeans have a mean paid vacation each year of six weeks.
i. The chance of developing breast cancer is under for women.
j. Private universities' mean tuition cost is more than per year.
"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?
Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.
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.
According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is Suppose that a survey is conducted to determine this year’s rate. Nine out of randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still or if it has decreased.
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