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.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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