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The null and alternative hypothesis would be: Ho: p < 0.9 Ho:μ < 0.9 Ho:μ 2 0.9 H :μ H₁:p> 0.9 H₁: >0.9 H₁: < 0.9 H₁: The test is: two-tailed right-tailed left-tailed O The test statistic is: The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis 0.9 Ho:p= 0.9 Ho:p> 0.9 0.9 H₁:p 0.9 H₁: p < 0.9 (to 3 decimals) (to 4 decimals)

The null and alternative hypothesis would be: Ho: p < 0.9 Ho:μ < 0.9 Ho:μ 2 0.9 H :μ H₁:p> 0.9 H₁: >0.9 H₁: < 0.9 H₁: The test is: two-tailed right-tailed left-tailed O The test statistic is: The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis 0.9 Ho:p= 0.9 Ho:p> 0.9 0.9 H₁:p 0.9 H₁: p < 0.9 (to 3 decimals) (to 4 decimals)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question 17: A well-known brokerage firm executive claimed that 90% 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, 81% of them said they are confident of meeting their goals.

Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level.

The null and alternative hypothesis would be:

 

H0:p≤0.9H0:p≤0.9
H1:p>0.9H1:p>0.9
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9



The test is:

 

two-tailed
right-tailed
left-tailed



The test statistic is:  (to 3 decimals)

The p-value is:  (to 4 decimals)

Based on this we:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis
A well-known brokerage firm executive claimed that 90% 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, 81% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.9 Ho: ≤0.9 Ho: ≥ 0.9 Ho : 0.9 Ho:p= 0.9 Ho:p> 0.9 H₁:p> 0.9 H₁> 0.9 H₁: < 0.9 H₁:0.9 H₁:p 0.9 H₁: p < 0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals) The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 4 decimals)
Transcribed Image Text:A well-known brokerage firm executive claimed that 90% 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, 81% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.9 Ho: ≤0.9 Ho: ≥ 0.9 Ho : 0.9 Ho:p= 0.9 Ho:p> 0.9 H₁:p> 0.9 H₁> 0.9 H₁: < 0.9 H₁:0.9 H₁:p 0.9 H₁: p < 0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals) The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 4 decimals)
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