It is claimed that only 5% of professional golfers are left-handed. Believing this claimed value is incorrect, a researcher surveys a large random sample of professional golfers and finds that the percentage who are left-handed is 3%. When a hypothesis test is conducted at a significance (or alpha) level of 0.01, the p-value is found to be 0.02. What decision should the researcher make based on the results of the hypothesis test? A. The null hypothesis should be rejected because 0.02 is less than 0.05. B. The null hypothesis should be rejected because 0.02 is less than 0.03. C. The null hypothesis should be rejected because 0.02 is greater than 0.01. D. The null hypothesis should be rejected because 0.03 is greater than 0.01. E. The null hypothesis should not be rejected.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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It is claimed that only 5% of professional golfers are left-handed. Believing this claimed
value is incorrect, a researcher surveys a large random sample of professional golfers and
finds that the percentage who are left-handed is 3%. When a hypothesis test is conducted
at a significance (or alpha) level of 0.01, the p-value is found to be 0.02. What decision
should the researcher make based on the results of the hypothesis test?
A. The null hypothesis should be rejected because 0.02 is less than 0.05.
B. The null hypothesis should be rejected because 0.02 is less than 0.03.
C. The null hypothesis should be rejected because 0.02 is greater than 0.01.
D. The null hypothesis should be rejected because 0.03 is greater than 0.01.
E. The null hypothesis should not be rejected.
Transcribed Image Text:It is claimed that only 5% of professional golfers are left-handed. Believing this claimed value is incorrect, a researcher surveys a large random sample of professional golfers and finds that the percentage who are left-handed is 3%. When a hypothesis test is conducted at a significance (or alpha) level of 0.01, the p-value is found to be 0.02. What decision should the researcher make based on the results of the hypothesis test? A. The null hypothesis should be rejected because 0.02 is less than 0.05. B. The null hypothesis should be rejected because 0.02 is less than 0.03. C. The null hypothesis should be rejected because 0.02 is greater than 0.01. D. The null hypothesis should be rejected because 0.03 is greater than 0.01. E. The null hypothesis should not be rejected.
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