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Responses to a survey question are broken down according to employment status an

ID: 3134288 • Letter: R

Question

Responses to a survey question are broken down according to employment status and the sample results are given below. At the 0.10 significance level, test the claim that response and employment status are independent.

#1. Correct statement for the claim?

A )H1: Response and Employment status are independent

B) H1: Response and Employment status are dependent

C) Ho: Response and Employment status are dependent

D) Ho: Response and Employment status are independent

#2. Critical Value is:

A) 11.071

B) 5.024

C) 4.605

D) 7.815

#3. Test Statistic is:

A) 12.588

B) 5.942

C) 25.963

D) 37.541

#4. Conclusion for this test is:

A) Reject Ho which says there is sufficient evidence to warrant rejection of the claim that response and employment status are independent

B) Reject Ho which says there is sufficient evidence to support the claim that response and employment status are dependent

C) Fail to reject Ho which says there is sufficient evidence to support the claim that response and employment status are dependent

D) Fail to reject Ho which says there is insufficient evidence to warrant rejection of the claim that response and employment status are independent

**Please show all work and clearly state the correct answer with corresponding letter value in each problem.

Yes No Undecided Employed 30 15 5 Unemployed 20 25 10

Explanation / Answer

Solution :

   #1.

B) H1: Response and Employment status are dependent.

  D) Ho: Response and Employment status are independent.

  #2. Critical Value is: 2 = 4.605.

   C) 4.605

   #3. Test Statistic is: 2 = 5.942

B) 5.942

  #4. Conclusion for this test is:

  A) Reject Ho which says there is sufficient evidence to warrant rejection of the claim that response and employment status are independent.

     

  

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