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 0.1 significance level.21 of 40 children in the low income group drew the nickel too large, and 8 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:μL>μHH1:μL>μH H1:pL<pHH1:pL<pH 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 _________(two decimal places):     c) Using the P-value method, the P-value is __________(4 decimal places): d) Based on this, we Reject H0H0 Fail to reject H0H0 e) Which means The sample data supports the claim There is sufficient evidence from the sample data to warrant rejection of the claim There is not sufficient evidence from the sample data to warrant rejection of the claim There is not sufficient evidence from the sample data to support the claim

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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 0.1 significance level.

21 of 40 children in the low income group drew the nickel too large, and 8 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:μL>μHH1:μL>μH
  • H1:pL<pHH1:pL<pH
  • 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 _________(two decimal places):     

c) Using the P-value method, the P-value is __________(4 decimal places): 

d) Based on this, we

  • Reject H0H0
  • Fail to reject H0H0



e) Which means

  • The sample data supports the claim
  • There is sufficient evidence from the sample data to warrant rejection of the claim
  • There is not sufficient evidence from the sample data to warrant rejection of the claim
  • There is not sufficient evidence from the sample data to support the claim
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