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Chapter 9: Q.52 (page 539)
Draw the general graph of the left-tailed test.
A graph of left-tailed test was represented.
To draw a graph of a left-tailed test
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"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.
So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test programX 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 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?
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 .
The National Institute of Mental Health published an article stating that in any one-year period, approximately a percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting 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, what would the null and alternative hypotheses be?
localid="1650439913140" __________
__________
For Americans using library services, the American Library Association claims that at most of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected patrons and found that borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?
Previously, an organization reported that teenagers spent hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was hours with a sample standard deviation of . Conduct a hypothesis test, the Type I error is:
a. to conclude that the current mean hours per week is higher than , when in fact, it is higher
b. to conclude that the current mean hours per week is higher than , when in fact, it is the same
c. to conclude that the mean hours per week currently is , when in fact, it is higher
d. to conclude that the mean hours per week currently is no higher than , when in fact, it is not higher
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