Chapter 9: Q. 49 (page 539)
Assume and Is this a left-tailed, right-tailed, or two-tailed test?
Short Answer
The test in question is a left-tailed test.
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Chapter 9: Q. 49 (page 539)
Assume and Is this a left-tailed, right-tailed, or two-tailed test?
The test in question is a left-tailed test.
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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?
A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses. H0: ____________________ Ha : ____________________
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. Is the population standard deviation known and, if so, what is it?
g. Calculate the following:
i. x ¯ = _____________
ii. s = ____________
iii. n = ____________
h. Which test should be used?
i. State the distribution to use for the hypothesis test.
j. Find the p-value.
k. At a pre-conceived α = 0.05, what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
The student academic group on a college campus claims that freshman students study at least hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of freshman students and found a mean study time of minutes with a standard deviation of minutes. At level, is the student academic group’s claim correct?
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" __________
__________
A report by the Gallup Poll found that a woman visits her doctor, on average, at mosttimes each year. A random sample of women results in these yearly visit totals
At the α = 0.05 level can it be concluded that the sample mean is higher than visits per year?
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