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 200 people, 19% 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 0.05 significance level. The null and alternative hypothesis would be: Ho:u = 0.2 Ho:p S 0.2 Ho: S 0.2 Ho:p2 0.2 Ho:u 2 0.2 Ho:p = 0.2 H:p + 0.2 H:p> 0.2 H > 0.2 H:p< 0.2 H:< 0.2 H:p 0.2 The test is: two-tailed left-tailed right-tailed The test statistic is: ] eto 3 decimals) The p-value is: [ (to 4 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis

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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 200 people, 19% 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 0,05 significance level.
The null and alternative hypothesis would be:
Ho: = 0.2 Ho:p < 0.2 Ho:# < 0.2 Ho:p 2 0.2 Hạ:u 2 0.2 Ho:p = 0.2
H:p + 0.2 H1:p > 0.2 H:u > 0.2 H:p < 0.2 H:u < 0.2 H:p + 0.2
The test is:
two-tailed left-tailed right-tailed
|(to 3 decimals)
The test statistic is:
The p-value is: [
(to 4 decimals)
Based on this we:
O Fail to reject the null hypothesis
O Reject the null hypothesis
Transcribed Image Text: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 200 people, 19% 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 0,05 significance level. The null and alternative hypothesis would be: Ho: = 0.2 Ho:p < 0.2 Ho:# < 0.2 Ho:p 2 0.2 Hạ:u 2 0.2 Ho:p = 0.2 H:p + 0.2 H1:p > 0.2 H:u > 0.2 H:p < 0.2 H:u < 0.2 H:p + 0.2 The test is: two-tailed left-tailed right-tailed |(to 3 decimals) The test statistic is: The p-value is: [ (to 4 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
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