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 800 people, 22% 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 0.005 significance level. The null and alternative hypothesis would be: The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals)

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 800 people, 22% 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 0.005 significance level. The null and alternative hypothesis would be: The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals)

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?

See similar textbooks

Similar questions

What is meant by the sample space of an experiment?
A well-known brokerage firm executive claimed that 40% 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 500 people, 35% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 40% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ≥0.4 H1:μ<0.4 H0:p≤0.4 H1:p>0.4 H0:p=0.4 H1:p≠0.4 H0:p≥0.4 H1:p<0.4 H0:μ=0.4 H1:μ≠0.4 H0:μ≤0.4 H1:μ>0.4 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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 800 people, 27% 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 0.01 significance level.The null and alternative hypothesis would be: H0:p≥0.2H0:p≥0.2H1:p<0.2H1:p<0.2 H0:p≤0.2H0:p≤0.2H1:p>0.2H1:p>0.2 H0:μ=0.2H0:μ=0.2H1:μ≠0.2H1:μ≠0.2 H0:p=0.2H0:p=0.2H1:p≠0.2H1:p≠0.2 H0:μ≥0.2H0:μ≥0.2H1:μ<0.2H1:μ<0.2 H0:μ≤0.2H0:μ≤0.2H1:μ>0.2H1:μ>0.2 The test is: left-tailed two-tailed right-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 10% 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 300 people, 15% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 10% at the 0.01 significance level.The null and alternative hypothesis would be: H0:p≤0.1H1:p>0.1 What is the test statistic? (to three decimal places) What is the p-value? (to four decimal places)
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 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we:
A well-known brokerage firm executive claimed that 50% 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 800 people, 49% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 The test is: right-tailed two-tailed left-tailed The test statistic is: ___?_____ (to 3 decimals)The p-value is: ___?___ (to 4 decimals)
A well-known brokerage firm executive claimed that 50% 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 800 people, 56% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 50% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 The test is: right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals) I am just lost on how to do the steps. thanks
A well-known brokerage firm executive claimed that 80% 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, 79% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 80% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 The test is: right-tailedtwo-tailedleft-tailed The test statistic is:_______________ (to 3 decimals)The p-value is:_____________ (to 4 decimals)