A well-known brokerage firm executive claimed that 60% 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 200 people, 59% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 60% at the .02 significance level. a.) The null and alternative hypothesis would be: Ho:p 0.6 Ho:p > 0.6 Ho: u < 0.6 Ho:µ = 0.6 Ho:u 2 0.6 Ho:p < 0.6 Ha:p 0.6 Ha:p <0.6 Ha:p > 0.6 Ha:u # 0.6 Ha:p < 0.6 Ha:p > 0.6 b.) The test is: two-tailed right-tailed left-tailed o c.) The sample proportion p d.) The test statistic is: (to 2 decimals) e.) The p-value is: (to 4 decimals)

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A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting
their investment goals. An XYZ Investor 0ptimism Survey, conducted over a two week period, found that in
a sample of 200 people, 59% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is smaller than 60% at the .02 significance
level.
a.) The null and alternative hypothesis would be:
Ho:p 0.6 Ho:p > 0.6 Ho: u < 0.6 Ho: µ = 0.6 Ho: u 2 0.6 Ho:p <0.6 f
Ha:p 0.6 Ha:p < 0.6 Ha:µ > 0.6 H.:p 0.6 Ha:p < 0.6 Ha p> 0.6
b.) The test is:
two-tailed right-tailed left-tailed o
c.) The sample proportion p
d.) The test statistic is:
(to 2 decimals)
e.) The p-value is:
(to 4 decimals)
Transcribed Image Text:A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor 0ptimism Survey, conducted over a two week period, found that in a sample of 200 people, 59% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 60% at the .02 significance level. a.) The null and alternative hypothesis would be: Ho:p 0.6 Ho:p > 0.6 Ho: u < 0.6 Ho: µ = 0.6 Ho: u 2 0.6 Ho:p <0.6 f Ha:p 0.6 Ha:p < 0.6 Ha:µ > 0.6 H.:p 0.6 Ha:p < 0.6 Ha p> 0.6 b.) The test is: two-tailed right-tailed left-tailed o c.) The sample proportion p d.) The test statistic is: (to 2 decimals) e.) The p-value is: (to 4 decimals)
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