Test the claim that the proportion of children from the low income group that drew the nickel toolarge is greater than the proportion of the high income group that drew the nickel too large. Test atthe 0.01 significance level.25 of 40 children in the low income group drew the nickel too large, and 10 of 35 did in the highincome group.a) If we use L to denote the low income group and H to denote the high income group, identify thecorrect alternative hypothesis.Нi: PL PHНі: PL > PHHl > Ir1:'HH1: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 HoFail to reject Hoe) Which meansThere is not sufficient evidence from the sample data to warrant rejection of the claimOThere is not sufficient evidence from the sample data to support the claimOThe sample data supports the claimThere is sufficient evidence from the sample data to warrant rejection of the claim

Given:L denote Low income group. We supposed to be group 1H denote high income group. We supposed to…

Answered: Test the claim that the proportion of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.a) The null and alternative hypothesis would be: �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010<�2011 �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010<�2011 b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. There is sufficient evidence to support the claim that the…
In a study of high school students at least 16 years of age, researches obtained data summarized in the table below. Test the claim that texting while driving is independent of drinking alchohol and driving. Assume a significance level of 0.05. Drove when Drinking Did not drive when Drinking Totals Texting while Driving 731 3054 3785 No Texting and Driving 156 4564 4720 Totals 887 7618 8505 c) What is the Alternative Hypothesis? d) Which type of test will be used? e) What critical values are there?
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To test the fairness of law enforcement in its area, a local citizens' group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.05 level of significance, test the claim of the citizens' group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 26 191 Women 10 173 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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…
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…
2
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Passed Failed White Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. 20 17 candidates Minority candidates 8 22 O A. Ho: Awhite candidate is not more likely to pass the test than a minority candidate. H,: A white candidate is more likely to pass the test than a minority candidate. B. Ho: White and minority candidates do not have the same chance of passing the test. H,: White and minority candidates have the same chance of passing the test. O C. Ho: Awhite candidate is more likely to pass the test than a minority candidate. H,:A white candidate is not more likely to pass the test than a minority candidate. O D. Ho: White and minority candidates have the same chance of passing the test. H4: White and minority candidates do not have the same chance of passing the test. Determine the test statistic. x? = (Round to three decimal places as…
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Suppose that in a random selection of 100 colored candies, 25% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.05 significance level to test that claim. O A. Ho p=0.22 Hy p>0.22 O B. Ho p=0.22 H p 0 22 O C. Ho pt0.22 H p=022 O D. Ho p=0.22 H1 p<0.22 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed ) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is | (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22% O B. Reject Hn. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 22% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the…

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