Please answer all sub-parts A well-known brokerage firm executive claimed that 30% 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 400 people, 35% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 30% at the 0.01 significance level. The null and alternative hypothesis would be: H0:p≤0.3H0:p≤0.3 H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3 H1:μ≠0.3H1:μ≠0.3 H0:μ≥0.3H0:μ≥0.3 H1:μ<0.3H1:μ<0.3 H0:p≥0.3H0:p≥0.3 H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3 H0:μ≤0.3H0:μ≤0.3 H1:μ>0.3H1:μ>0.3 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: Fail to reject the null hypothesis Reject the null hypothesis

Please answer all sub-parts A well-known brokerage firm executive claimed that 30% 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 400 people, 35% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 30% at the 0.01 significance level. The null and alternative hypothesis would be: H0:p≤0.3H0:p≤0.3 H1:p>0.3H1:p>0.3 H0:μ=0.3H0:μ=0.3 H1:μ≠0.3H1:μ≠0.3 H0:μ≥0.3H0:μ≥0.3 H1:μ<0.3H1:μ<0.3 H0:p≥0.3H0:p≥0.3 H1:p<0.3H1:p<0.3 H0:p=0.3H0:p=0.3 H1:p≠0.3H1:p≠0.3 H0:μ≤0.3H0:μ≤0.3 H1:μ>0.3H1:μ>0.3 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: Fail to reject the null hypothesis Reject the null hypothesis

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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