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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 300 people, 12% 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:p > 0.2 Ho:p = 0.2 Ho:p < 0.2 H1:µ + 0.2 H1:p < 0.2 H1:p + 0.2 H1:p > 0.2 Ho: µ > 0.2 Ho : µ < 0.2 H1:µ < 0.2 H1:µ > 0.2 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis

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 300 people, 12% 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:p > 0.2 Ho:p = 0.2 Ho:p < 0.2 H1:µ + 0.2 H1:p < 0.2 H1:p + 0.2 H1:p > 0.2 Ho: µ > 0.2 Ho : µ < 0.2 H1:µ < 0.2 H1:µ > 0.2 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis O Fail to reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 300 people, 12% 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: Но: и 3 0.2 Но:р 2 0.2 Но:р — 0.2 Но:р < 0.2 Hі:р 2 0.2 Н:р< 0.2 Hі:р# 0.2 Hi:p > 0.2 Ho: µ > 0.2 Ho : µ < 0.2 H1:µ < 0.2 H1 :µ > 0.2 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to 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 300 people, 12% 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: Но: и 3 0.2 Но:р 2 0.2 Но:р — 0.2 Но:р < 0.2 Hі:р 2 0.2 Н:р< 0.2 Hі:р# 0.2 Hi:p > 0.2 Ho: µ > 0.2 Ho : µ < 0.2 H1:µ < 0.2 H1 :µ > 0.2 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 3 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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