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 800 people, 44% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 40% at the 0.10 significance level. The null and alternative hypothesis would be: Hop≥ 0.4 Ho: μ = 0.4 Ho: p=0.4 Ho: ≤ 0.4 H₁ p<0.4 H₁: μ‡0.4 H₁: p0.4 H₁: > 0.4 The test is: two-tailed left-tailed right-tailed The test statistic is: The p-value is: Based on this we: OB O Reject the null hypothesis O Fail to reject the null hypothesis Ho: p ≤ 0.4 H₁: p > 0.4 (to 3 decimals) (to 4 decimals) Ho:μ ≥ 0.4 o H₁: <0.4

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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 800 people, 44% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is larger than 40% at the 0.10 significance level.
The null and alternative hypothesis would be:
=
Hop≥ 0.4 Ho: μ 0.4 Ho: p
H₁ p < 0.4 H₁ : μ‡0.4
:
The test is:
The test statistic is:
two-tailed left-tailed right-tailed o
The p-value is:
Based on this we:
0.4 H : < 0.4 H:p<0.4 Ho:p>0.4 ở
H₁ μ> 0.4 H₁: p > 0.4 H₁: μ< 0.4
:
H₁: p0.4
Reject the null hypothesis
Fail to reject the null hypothesis
(to 3 decimals)
(to 4 decimals)
Transcribed Image Text: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 800 people, 44% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is larger than 40% at the 0.10 significance level. The null and alternative hypothesis would be: = Hop≥ 0.4 Ho: μ 0.4 Ho: p H₁ p < 0.4 H₁ : μ‡0.4 : The test is: The test statistic is: two-tailed left-tailed right-tailed o The p-value is: Based on this we: 0.4 H : < 0.4 H:p<0.4 Ho:p>0.4 ở H₁ μ> 0.4 H₁: p > 0.4 H₁: μ< 0.4 : H₁: p0.4 Reject the null hypothesis Fail to reject the null hypothesis (to 3 decimals) (to 4 decimals)
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