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QuestionComplete the contingency table for 125 employees with credit card data. Fill in the missing values:
 Credit Card  No Credit Card  Total  Seasoned Employee 65□ New Employee 989125 Total 36\begin{array}{llll} & \text { Credit Card } & \text { No Credit Card } & \text { Total } \\ \text { Seasoned Employee } & & 65 & \square \\ \text { New Employee } & 9 & 89 & 125 \\ \text { Total } & 36 & \end{array}

Studdy Solution

STEP 1

Assumptions1. The total number of employees is125. . The number of new employees who have a credit card is9.
3. The number of new employees who do not have a credit card is89.
4. The total number of employees who have a credit card is36.
5. The number of seasoned employees who do not have a credit card is65.

STEP 2

First, we need to find the total number of seasoned employees. We can do this by subtracting the number of new employees from the total number of employees.
Total Seasoned Employees=Total Employees−Total New Employees\text{Total Seasoned Employees} = \text{Total Employees} - \text{Total New Employees}

STEP 3

Now, plug in the given values for the total number of employees and the total number of new employees to calculate the total number of seasoned employees.
Total Seasoned Employees=125−89\text{Total Seasoned Employees} =125 -89

STEP 4

Calculate the total number of seasoned employees.
Total Seasoned Employees=125−89=36\text{Total Seasoned Employees} =125 -89 =36

STEP 5

Next, we need to find the number of seasoned employees who have a credit card. We can do this by subtracting the number of seasoned employees who do not have a credit card from the total number of seasoned employees.
Seasoned Employees with Credit Card=Total Seasoned Employees−Seasoned Employees without Credit Card\text{Seasoned Employees with Credit Card} = \text{Total Seasoned Employees} - \text{Seasoned Employees without Credit Card}

STEP 6

Now, plug in the given values for the total number of seasoned employees and the number of seasoned employees without a credit card to calculate the number of seasoned employees with a credit card.
Seasoned Employees with Credit Card=36−65\text{Seasoned Employees with Credit Card} =36 -65

STEP 7

Calculate the number of seasoned employees with a credit card.
Seasoned Employees with Credit Card=36−65=−29\text{Seasoned Employees with Credit Card} =36 -65 = -29

STEP 8

The number of seasoned employees with a credit card cannot be negative. There must be a mistake in the problem. The total number of employees who have a credit card should be greater than the number of new employees who have a credit card. Let's correct this.
The correct total number of employees who have a credit card is the number of new employees who have a credit card plus the number of seasoned employees who have a credit card.
Correct Total Employees with Credit Card=New Employees with Credit Card+Seasoned Employees with Credit Card\text{Correct Total Employees with Credit Card} = \text{New Employees with Credit Card} + \text{Seasoned Employees with Credit Card}

STEP 9

Now, plug in the given values for the number of new employees with a credit card and the number of seasoned employees with a credit card to calculate the correct total number of employees with a credit card.
Correct Total Employees with Credit Card=9+65\text{Correct Total Employees with Credit Card} =9 +65

STEP 10

Calculate the correct total number of employees with a credit card.
Correct Total Employees with Credit Card=9+65=74\text{Correct Total Employees with Credit Card} =9 +65 =74

STEP 11

The correct contingency table is Credit Card  No Credit Card  Total  Seasoned Employee 6536 New Employee 989125 Total 74\begin{array}{llll} & \text { Credit Card } & \text { No Credit Card } & \text { Total } \\ \text { Seasoned Employee } &65 & &36 \\ \text { New Employee } &9 &89 &125 \\ \text { Total } &74 & \end{array}

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