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 600 people, 57% 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 0.10 significance level. The null and alternative hypothesis would be: Ho:P Но: р — 0.5 Но: и < 0.5 Но:д H1:p + 0.5 H1: µ > 0.5 H1:µ + 0.5 0.5 Но: д > 0.5 Но:р < 0.5 Но:р > 0.5 Hi:и < 0.5 Hі:р > 0.5 Hi:р < 0.5 The test is: left-tailed two-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
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 600 people, 57% 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 0.10 significance level. The null and alternative hypothesis would be: Ho:P Но: р — 0.5 Но: и < 0.5 Но:д H1:p + 0.5 H1: µ > 0.5 H1:µ + 0.5 0.5 Но: д > 0.5 Но:р < 0.5 Но:р > 0.5 Hi:и < 0.5 Hі:р > 0.5 Hi:р < 0.5 The test is: left-tailed two-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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 600 people, 57% 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 0.10 significance
level.
The null and alternative hypothesis would be:
Но: р —
H1:p + 0.5 H1:µ > 0.5 H1:µ # 0.5
0.5 Но: и < 0.5 Но: и
0.5
Но : и > 0.5 Но: р < 0.5 Но: р > 0.5
Ні: р < 0.5 Ні:р> 0.5 Нi:р < 0.5
The test is:
left-tailed two-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
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