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In a survey of employees, a company reported that 56%had confidence in the actio

ID: 3058661 • Letter: I

Question

In a survey of employees, a company reported that 56%had confidence in the actions of senior management. To be 99 % confident that at least half of all employees have confidence in senior management, how many would have to be in the survey sample?

Click here to view a table of the normal distribution percentiles.

The company needs to survey ___ randomly selected employees. (Round up to the nearest whole number.)

z P(Z less than or equal to negative z) 0.6745 0.25 0.7063 0.24 0.7388 0.23 0.7722 0.22 0.8064 0.21 0.8416 0.2 0.8779 0.19 0.9154 0.18 0.9542 0.17 0.9945 0.16 1.0364 0.15 1.0803 0.14 1.1264 0.13 1.175 0.12 1.2265 0.11 1.2816 0.1 1.3408 0.09 1.4051 0.08 1.4758 0.07 1.5548 0.06 1.6449 0.05 1.7507 0.04 1.8808 0.03 1.96 0.025 2.0537 0.02 2.3263 0.01 2.5758 0.005 2.807 0.0025 3.0902 0.001 3.2905 0.0005 3.719 0.0001 3.8906 0.00005 4.2649 0.00001 4.4172 0.000005

Explanation / Answer

In a survey of employees, a company reported that 56%had confidence in the actions of senior management. To be 99 % confident that at least half of all employees have confidence in senior management, how many would have to be in the survey sample?

Click here to view a table of the normal distribution percentiles.

The company needs to survey ___ randomly selected employees. (Round up to the nearest whole number.)

z P(Z less than or equal to negative z) 0.6745 0.25 0.7063 0.24 0.7388 0.23 0.7722 0.22 0.8064 0.21 0.8416 0.2 0.8779 0.19 0.9154 0.18 0.9542 0.17 0.9945 0.16 1.0364 0.15 1.0803 0.14 1.1264 0.13 1.175 0.12 1.2265 0.11 1.2816 0.1 1.3408 0.09 1.4051 0.08 1.4758 0.07 1.5548 0.06 1.6449 0.05 1.7507 0.04 1.8808 0.03 1.96 0.025 2.0537 0.02 2.3263 0.01 2.5758 0.005 2.807 0.0025 3.0902 0.001 3.2905 0.0005 3.719 0.0001 3.8906 0.00005 4.2649 0.00001 4.4172 0.000005
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