A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their...
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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 100 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 0.01 significance level. The null and alternative hypothesis would be: Ho: p=0.5 Ho: ≤ 0.5 Ho:μ ≥ 0.5 Ho:p ≤ 0.5 H₁:p0.5 O The test is: H₁: P Ho:p≥ 0.5 Ho: p = 0.5 H₁:> 0.5 H₁: <0.5 H₁:p> 0.5 H₁:p<0.5 H₁:#0.5 O O O two-tailed right-tailed left-tailed O 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 (to 3 decimals) (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 100 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 0.01 significance level. The null and alternative hypothesis would be: Ho: p=0.5 Ho: ≤ 0.5 Ho:μ ≥ 0.5 Ho:p ≤ 0.5 H₁:p0.5 O The test is: H₁: P Ho:p≥ 0.5 Ho: p = 0.5 H₁:> 0.5 H₁: <0.5 H₁:p> 0.5 H₁:p<0.5 H₁:#0.5 O O O two-tailed right-tailed left-tailed O 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 (to 3 decimals) (to 4 decimals)
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