A manager of a large company believes that 95% of her employees use their 40 hours of weekly work time productively.A random survey given to some of the employees found that only 92.7% of her employees used their time productively.A statistician carried out a test and a P-value of 0.021.Interpret the p-value and provide an appropriate conclusion at α = 0.05.

Question

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The Answer is There is only a 2.1% chance of seeing a sample proportion as low as 92.7% of employees productively working by natural sampling variation if 95% have really been working productively.At α = 0.05,we reject the null hypothesis.There is sufficient evidence to conclude that less than 95% of employees use their time productively.

A Manager of a Large Company Believes That 95% of Her