The null and alternative hypothesis would be: H0:p≥0.2 H1:p<0.2 The test is: left-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Hypothesis Test for a Population Proportion

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, 13% of them said they are confident of meeting their goals.

Test the claim that the proportion of people who are confident is smaller than 20% at the 0.005 significance level.

The null and alternative hypothesis would be:

H0:p≥0.2
H1:p<0.2
 
The test is:
left-tailed

The test statistic is:             (to 3 decimals)

The p-value is:                    (to 4 decimals)

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