Barbara is considering different career paths. She has decided she will consider only careers with an average salary of at least 40000. For each career she is considering she will perform the following hypothesis test:   ?0:?≥$40000 ??:?<$40000   After collecting data about teaching jobs, Barbara finds a p-value of 0.002. Interpret this result.   Select your answer from one of the following options. a. Fail to reject the null hypothesis. Barbara should remove that career from consideration because there is enough evidence to support the claim that the average salary is less than 40000. b. Fail to reject the null hypothesis. Barbara should still consider that career because there is not enough evidence to support the claim that the average salary is less than 40000. c. Reject the null hypothesis. Barbara should still consider that career because there is not enough evidence to support the claim that the average salary is less than 40000. d. Reject the null hypothesis. Barbara should remove that career from consideration because there is enough evidence to support the claim that the average salary is less than 40000.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Barbara is considering different career paths. She has decided she will consider only careers with an average salary of at least 40000. For each career she is considering she will perform the following hypothesis test:
 
?0:?≥$40000
??:?<$40000
 
After collecting data about teaching jobs, Barbara finds a p-value of 0.002. Interpret this result.
 
Select your answer from one of the following options.
  • a.
    Fail to reject the null hypothesis. Barbara should remove that career from consideration because there is enough evidence to support the claim that the average salary is less than 40000.
  • b.
    Fail to reject the null hypothesis. Barbara should still consider that career because there is not enough evidence to support the claim that the average salary is less than 40000.
  • c.
    Reject the null hypothesis. Barbara should still consider that career because there is not enough evidence to support the claim that the average salary is less than 40000.
  • d.
    Reject the null hypothesis. Barbara should remove that career from consideration because there is enough evidence to support the claim that the average salary is less than 40000.
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