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An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers.  After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A   Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Index “a” refers to the population of the customers who respond to version A and index “b” refers to the population of customers who are responsive to version B.   Identify and enter the number corresponding to the most appropriate formulation for the hypotheses.  For example if formulation number 2 is the most appropriate formulation for this problem then enter “2” in the answer text box.   H0:  μb – μa ≥ 0       Ha:  μb – μa < 0 H0:  μb – μa = 0       Ha:  μb – μa ≠  0 H0:  b – a ≥ 0       Ha:  b – a < 0 H0:  b – a≤ 0        Ha:  b – a > 0 H0:  Pb – Pa ≥ 0       Ha: Pb – Pa < 0 H0:  Pb – Pa ≤ 0       Ha:  Pb – Pa > 0 H0:  b – a = 0       Ha:  b – a ≠ 0 H0:  b – a ≥ 0       Ha:  b – a < 0 H0:  b – a ≤ 0       Ha:  b – a > 0   Your answer is:      For part b. of this problem, enter the absolute value of your answer in the response text box.  Do not include the plus or minus sign with your answer. Enter the answer in xx.xxx format.  That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format.  For example, if your answer is 6.1525, first round it to two decimals which is 6.153 and then enter it as 06.153 to match the format.  If your answer is -0.2 then enter it as 00.200 in the answer box and do not include the minus sign.   What is the value of the test statistics? Enter the answer in xx.xxx format per instruction for part b Your answer is:  What is the P-Value?    Enter the answer in xx.xxx  format per instruction for part b Your answer is:

An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers.  After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A   Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Index “a” refers to the population of the customers who respond to version A and index “b” refers to the population of customers who are responsive to version B.   Identify and enter the number corresponding to the most appropriate formulation for the hypotheses.  For example if formulation number 2 is the most appropriate formulation for this problem then enter “2” in the answer text box.   H0:  μb – μa ≥ 0       Ha:  μb – μa < 0 H0:  μb – μa = 0       Ha:  μb – μa ≠  0 H0:  b – a ≥ 0       Ha:  b – a < 0 H0:  b – a≤ 0        Ha:  b – a > 0 H0:  Pb – Pa ≥ 0       Ha: Pb – Pa < 0 H0:  Pb – Pa ≤ 0       Ha:  Pb – Pa > 0 H0:  b – a = 0       Ha:  b – a ≠ 0 H0:  b – a ≥ 0       Ha:  b – a < 0 H0:  b – a ≤ 0       Ha:  b – a > 0   Your answer is:      For part b. of this problem, enter the absolute value of your answer in the response text box.  Do not include the plus or minus sign with your answer. Enter the answer in xx.xxx format.  That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format.  For example, if your answer is 6.1525, first round it to two decimals which is 6.153 and then enter it as 06.153 to match the format.  If your answer is -0.2 then enter it as 00.200 in the answer box and do not include the minus sign.   What is the value of the test statistics? Enter the answer in xx.xxx format per instruction for part b Your answer is:  What is the P-Value?    Enter the answer in xx.xxx  format per instruction for part b Your answer is:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers.  After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A

 

  1. Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Index “a” refers to the population of the customers who respond to version A and index “b” refers to the population of customers who are responsive to version B.

 

Identify and enter the number corresponding to the most appropriate formulation for the hypotheses.  For example if formulation number 2 is the most appropriate formulation for this problem then enter “2” in the answer text box.

 

  1. H0:  μb – μa ≥ 0       Ha:  μb – μa < 0
  2. H0:  μb – μa = 0       Ha:  μb – μa ≠  0
  3. H0:  b – a ≥ 0       Ha:  b – a < 0
  4. H0:  b – a≤ 0        Ha:  b – a > 0
  5. H0:  Pb – Pa ≥ 0       Ha: Pb – Pa < 0
  6. H0:  Pb – Pa ≤ 0       Ha:  Pb – Pa > 0
  7. H0:  b – a = 0       Ha:  b – a ≠ 0
  8. H0:  b – a ≥ 0       Ha:  b – a < 0
  9. H0:  b – a ≤ 0       Ha:  b – a > 0

 

Your answer is: 

 

  1.  

For part b. of this problem, enter the absolute value of your answer in the response text box.  Do not include the plus or minus sign with your answer. Enter the answer in xx.xxx format.  That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format.  For example, if your answer is 6.1525, first round it to two decimals which is 6.153 and then enter it as 06.153 to match the format.  If your answer is -0.2 then enter it as 00.200 in the answer box and do not include the minus sign.

 

  1. What is the value of the test statistics? Enter the answer in xx.xxx format per instruction for part b

Your answer is: 

  1. What is the P-Value?    Enter the answer in xx.xxx  format per instruction for part b

Your answer is: 

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