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Math Calculations: Confidence interval

Mar 2, 2022 | Mathematics - Statistics | 0 comments

Mar 2, 2022 | Mathematics - Statistics | 0 comments

Math Calculations: Confidence interval

At a major health care corporation with thousands of employees they have noticed 10% of their nurses have quit over time due to long shifts. The board of directors dissussed this issue and it was suggested to reduce the shifts by hour a day and see if the percentage of nurses who quit due to long shifts would be different than 10%. After reducing the shift by one hour, the company selected a sample of 100 nurses and found that 7 of them have quit 

a) Find the 95% confidence interval for the proportion of nurses who quit overtime due to long shifts. Do not forget to interpret the confidence interval.

B) Using the confidence interval you found in 1) test the company claim that the percentage of nurses who quit due to long shifts would be different that 10% if they reduce the shift by one hour.Make sure to state your conclusion within the context of the problem and to identify the significance level a

C)Based on your conclusion in part 2) is the P value less or greater than a? Explain your answer. You will not get credit if you find p value. You should rely in your answer on part 2

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