After reading an article using research done by the Organization for Economic Co-operation and Development (OECD) based in France, a statistics student decided to conduct his own study to see if the figures in the article were accurate. This article stated that 37% of email users said spam has increased in their personal email accounts and 29% said it has increased in their work email accounts. To test the first figure, let p be the proportion of email users who feel that spam has increased in their personal email. The first set of hypotheses that the student wants to test is then: Ho: p = 0.37 Ha: p ≠ 0.37 Based upon the data collected by this student, a 95% confidence interval for p was found to be: (0.25, 0.32). At the 0.05 level of significance, which conclusion can be made? a. The student cannot reject Ho, since 0.37 does not fall within the limits of the interval. b. The student can reject Ho, since 0.37 falls within the limits of the interval. c. The student cannot reject Ho, since 0.37 falls within the limits of the interval. d. The student can reject Ho, since 0.37 does not fall within the limits of the interval.
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After reading an article using research done by the Organization for Economic Co-operation and Development (OECD) based in France, a statistics student decided to conduct his own study to see if the figures in the article were accurate. This article stated that 37% of email users said spam has increased in their personal email accounts and 29% said it has increased in their work email accounts.
To test the first figure, let p be the proportion of email users who feel that spam has increased in their personal email. The first set of hypotheses that the student wants to test is then:
Ho: p = 0.37 Ha: p ≠ 0.37
Based upon the data collected by this student, a 95% confidence interval for p was found to be: (0.25, 0.32).
At the 0.05 level of significance, which conclusion can be made?
a. The student cannot reject Ho, since 0.37 does not fall within the limits of the interval.
b. The student can reject Ho, since 0.37 falls within the limits of the interval.
c. The student cannot reject Ho, since 0.37 falls within the limits of the interval.
d. The student can reject Ho, since 0.37 does not fall within the limits of the interval.
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