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.26 of 40 children in the low income group drew the nickel too large, and 15 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>μHH1:μL≠μHH1:μL≠μHH1:pL<pHH1:pL<pHH1:pL>pHH1:pL>pHH1:μL<μHH1:μL<μHH1:pL≠pHH1:pL≠pHb) 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, weReject H0H0Fail to reject H0H0e) Which meansThere is sufficient evidence from the sample data to warrant rejection of the claimThe sample data supports the claimThere is not sufficient evidence from the sample data to support the claimThere is not sufficient evidence from the sample data to warrant rejection of the claim

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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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 0.01 significance level.

26 of 40 children in the low income group drew the nickel too large, and 15 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:μL≠μHH1:μL≠μH
H1:pL<pHH1:pL<pH
H1:pL>pHH1:pL>pH
H1:μL<μHH1:μL<μH
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

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

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