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 800 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 0.025 significance level. The null and alternative hypothesis would be: Ho :µ = 0.2 Ho:µ > 0.2 Ho:p > 0.2 H1: µ + 0.2 H1:µ < 0.2 H1:p < 0.2 Но р< 0.2 Но: и < 0.2 Но :р H1:p > 0.2 H1:µ > 0.2 H1:p + 0.2 0.2 The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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 800 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 0.025
significance level.
The null and alternative hypothesis would be:
Họ: µ =
—D 0.2 Но: д > 0.2 Но:р > 0.2
H1: µ + 0.2 H1:µ < 0.2 H:p < 0.2
Но: р< 0.2 Но: р < 0.2 Но:р — 0.2
H1:p > 0.2 H1:µ > 0.2 H:p+ 0.2
The test statistic is:
(to 3 decimals)
The p-value is:
(to 4
decimals)
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 800 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 0.025 significance level. The null and alternative hypothesis would be: Họ: µ = —D 0.2 Но: д > 0.2 Но:р > 0.2 H1: µ + 0.2 H1:µ < 0.2 H:p < 0.2 Но: р< 0.2 Но: р < 0.2 Но:р — 0.2 H1:p > 0.2 H1:µ > 0.2 H:p+ 0.2 The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals)
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