Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 9.2, Problem 8BSC
In Exercises 5–20, assume that the two samples are independent simple random samples selected from
8. Color and Cognition Researchers from the University of British Columbia conducted a study to investigate the effects of color on cognitive tasks. Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Higher scores correspond to greater word recall.
a. Use a 0.05 significance level to test the claim that the samples are from populations with the same
b. Construct a confidence interval appropriate for the hypothesis test in part (a). What is it about the confidence interval that causes us to reach the same conclusion from part (a)?
c. Does the background color appear to have an effect on word recall scores? If so, which color appears to be associated with higher word memory recall scores?
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The table below summarizes a data set that examines the responses of a random sample of college graduates and non-graduates on the topic of oil drilling. Complete a chi-square test for these data to check whether there is a statistically significant difference in responses from college graduates and non-graduates. That is,
H0:H0: The opinion of college grads and nongrads is not different on the topic of drilling for oil and natural gas off the coast of California.HA:HA: Opinions regarding the drilling for oil and natural gas off the coast of California has an association with earning a college degree. Compute the expected counts. If necessary, round to the nearest tenth.
College graduates
Non-graduates
Total
Support
154
132
286
Oppose
180
126
306
Do not know
104
131
235
Total
438
389
827
College graduates
Non-graduates
Total
Support
286
Oppose
306
Do not know
235
Total
438
389
827
b) Compute the χ2χ2 test statistic. Round to the nearest…
P -Values. In Exercises 17–20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the p -value. (See Figure 8-3 on page 364.)
c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = −2.50 is obtained when testing the claim that p < 0.75.
P -Values. In Exercises 17–20, do the following:
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value. (See Figure 8-3 on page 364.)
c. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
The test statistic of z = 2.01 is obtained when testing the claim that p ≠ 0.345.
Chapter 9 Solutions
Essentials of Statistics (6th Edition)
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