Question

The personnel manager of a large corporation is studying punctuality among clerical workers at one of the corporation’s branch offices during the past year. Data has been collected on a random sample of 287 employees. Twenty-one were found to be late on more than 10 days.

Test at the 5% level of significance whether the data indicate that the proportion who were late on more than 10 days is less than 8%.

(a) State, in words and in symbols, the hypotheses being tested.

(b) What is the p-value?

(c) Is there evidence to reject the null hypothesis? Justify your answer.

(d) State the conclusion in context.

(e) Set up a 95% confidence interval to estimate the proportion of clerical workers who were late on more than 10 days in the previous year. Write a sentence to explain the meaning of your answer.

(f) Write a sentence comparing answers above to (d) and (e).

Answer #1

The personnel
manager of a large corporation is studying punctuality among
clerical workers at one of the corporation’s branch offices during
the past year. Data has been collected on a random sample of 287
employees. Twenty-one were found to be late on more than 10
days.
Test at the 5% level
of significance whether the data indicate that the proportion who
were late on more than 10 days is less than 8%.
(a) State, in words
and in symbols, the...

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Case Study
1: A Day in the
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Rachel, the project
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They spend 10 minutes socializing and catching up on personal...

Case Study 1: A Day in the Life
Rachel, the project manager of a large information systems
project, arrives at her office early to get caught up with work
before her co- workers and project team arrive. However, as she
enters the office she meets Neil, one of her fellow project
managers, who also wants to get an early start on the day. Neil has
just completed a project overseas. They spend 10 minutes
socializing and catching up on personal news....

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