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 0.01 significance level. Recall 23 of 40 children in the low income group drew the nickel too large, and 12 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:pL>pHH1:pL>pH H1:pLμHH1:μL>μH H1:μL≠μHH1:μL≠μH 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 sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim The sample data supports the claim There is not sufficient evidence to support the claim

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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 0.01 significance level.

Recall 23 of 40 children in the low income group drew the nickel too large, and 12 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:pL>pHH1:pL>pH
  • H1:pL<pHH1:pL<pH
  • H1:μL<μHH1:μL<μH
  • H1:μL>μHH1:μL>μH
  • H1:μL≠μHH1:μL≠μH



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