Management at a local company asked employees if they were interested in obtaini

Question

Management at a local company asked employees if they were interested in obtaining job training. Responses are summarized by employment type (salaried or hourly), and whether the employee is interested (yes or no) in job training Hourly 56 44. 100 Salaried 68 Total 124 179 Click to download the data in your preferred format if you wish. Yes 0 Total 79 CrunchIt! CSVExcel JMP Mac Text MinitabPC Text R SPSS TI Calc Compute the probability that an employee is salaried. Give your answer as a decimal, precise to at least three decimal places P(salaried) = Next, compute the probability that an employee who is interested in training is salaried. Gives your answer as a decimal, precise to at least three decimal places. P (salaried | yes) = Finally, use the results from the two preceeding calculations to determine whether or not employment type and interest in training are independent. No, the two events are not independent.

Explanation / Answer

P(salaried) = 79 / 179 = 0.4413.

P(salaried|yes) = 68 / 124 = 0.5484.

Since P(salaried) and P(salaried|yes) are not the same values,

No, the two events are not independent.

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