To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.05 significance level. Recall 27 of 40 children in the low income group drew the nickel too large, and 14 of 35 did in the high income group. a) If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis. H1:pL≠pHH1:pL≠pH H1:μL≠μHH1:μL≠μH H1:μL>μHH1:μL>μH H1:μL<μHH1:μL<μH H1:pLpHH1:pL>pH b) The test statistic value is: c) Using the P-value method, the P-value is: d) Based on this, we Reject H0H0 Fail to reject H0H0 e) Which means There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim There is sufficient evidence to warrant rejection of the claim The sample data supports the claim
To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.05 significance level. Recall 27 of 40 children in the low income group drew the nickel too large, and 14 of 35 did in the high income group. a) If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis. H1:pL≠pHH1:pL≠pH H1:μL≠μHH1:μL≠μH H1:μL>μHH1:μL>μH H1:μL<μHH1:μL<μH H1:pLpHH1:pL>pH b) The test statistic value is: c) Using the P-value method, the P-value is: d) Based on this, we Reject H0H0 Fail to reject H0H0 e) Which means There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim There is sufficient evidence to warrant rejection of the claim The sample data supports the claim
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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To begin answering our original question, test the claim that the proportion of children from the low income group that drew the nickel too large is greater than the proportion of the high income group that drew the nickel too large. Test at the 0.05 significance level.
Recall 27 of 40 children in the low income group drew the nickel too large, and 14 of 35 did in the high income group.
a) If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis.
- H1:pL≠pHH1:pL≠pH
- H1:μL≠μHH1:μL≠μH
- H1:μL>μHH1:μL>μH
- H1:μL<μHH1:μL<μH
- H1:pL<pHH1:pL<pH
- H1:pL>pHH1:pL>pH
b) The test statistic value is:
c) Using the P-value method, the P-value is:
d) Based on this, we
- Reject H0H0
- Fail to reject H0H0
e) Which means
- There is not sufficient evidence to warrant rejection of the claim
- There is not sufficient evidence to support the claim
- There is sufficient evidence to warrant rejection of the claim
- The sample data supports the claim
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