A well-known brokerage firm executive claimed that 20% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 21% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 20% at the 0.10 significance level. The null and alternative hypothesis would be:

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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A well-known brokerage firm executive claimed that 20% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 21% of them said they are confident of meeting their goals.

Test the claim that the proportion of people who are confident is larger than 20% at the 0.10 significance level.

The null and alternative hypothesis would be:

 

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