# If a researcher does not reject a false null

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Chapter 9 / Exercise 4
Research Methods and Statistics: A Critical Thinking Approach
Jackson Expert Verified
64) If a researcher does not reject a false null hypothesis, she has made a ________ error.
65) The symbol for the probability of committing a Type I error of a statistical test is
.
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A66) How many tissues should the Kimberly Clark Corporation package of Kleenex®contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Suppose the alternative you wanted to test was H1: < 60. State the correct rejection region for α = 0.05.μ
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Chapter 9 / Exercise 4
Research Methods and Statistics: A Critical Thinking Approach
Jackson Expert Verified
B67) If, as a result of a hypothesis test, you reject the null hypothesis when it is false, then you have committed
C68) In testing for the differences between the means of two independent populations, you assumethat the two populations each follow a ________ distribution.
69) True or False: The sample size in each independent sample must be the same if we are to test for differences between the means of two independent populations.
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.Gotham: G= 35 months, SG2= 900 Metropolis: M= 50 months, SM2= 1,05070) Which of the following represents the relevant hypotheses tested by the real estate company?
M< 0
M> 0
M≠ 0
M< 0
A71) What is the estimated standard error of the difference between the two sample means?
A72) If we wish to determine whether there is evidence that the proportion of items of interest is the same in group 1 as in group 2, the appropriate test to use isA) the Ztest.B) the χ2test.C) both A and BD) neither A nor B.Answer:
C73) True or False: A test for whether one proportion is higher than the other can be performed using the chi-square distribution.
Four surgical procedures currently are used to install pacemakers. If the patient does not need to return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to compare the proportion of clear operations for the four procedures, and collects the following numbers of patients from their own records:They will use this information to test for a difference among the proportion of clear operations using a chi-square test with a level of significance of 0.05.74) Referring to the table above, the test will involve ________ degrees of freedom.
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