A salon owner estimates the number of clients she is expecting during the festive season to be 20% during Monday to Wednesday, 20% on Thursday and 60% over the weekend. She therefore hires additional staff to assist during the weekend to meet the client demand. She however only observes 30% during Monday to Wednesday, 20% on Thursday and 50% over the weekend in the first week of December. The salon owner is uncertain whether she should reduce the planned staff for the December festive period due the observed trend or not. She conducts a statistical test at α = 0.05 to determine if the observed trend fits the expected trend. Which of the following statements is true?   A. The conclusion of the test is that she should not keep the additional staff for the weekend.   B. The df for this test is 3.   C. The p-value is greater than α.   D. The null hypothesis is that the observed trend is different to the expected trend.   E. The test statistic is χ2 = 5.33.

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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A salon owner estimates the number of clients she is expecting during the festive season to be 20% during Monday to Wednesday, 20% on Thursday and 60% over the weekend. She therefore hires additional staff to assist during the weekend to meet the client demand. She however only observes 30% during Monday to Wednesday, 20% on Thursday and 50% over the weekend in the first week of December. The salon owner is uncertain whether she should reduce the planned staff for the December festive period due the observed trend or not. She conducts a statistical test at α = 0.05 to determine if the observed trend fits the expected trend. Which of the following statements is true?
  A.

The conclusion of the test is that she should not keep the additional staff for the weekend.

  B.

The df for this test is 3.

  C.

The p-value is greater than α.

  D.

The null hypothesis is that the observed trend is different to the expected trend.

  E.

The test statistic is χ2 = 5.33.

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