rashad is a hotel manager. he surveyed a random sample of 120 guests and asked them which floor their room…

rashad is a hotel manager. he surveyed a random sample of 120 guests and asked them which floor their room was and about their level of satisfaction. here are the results:\nhotel floor satisfied neutral not satisfied total\n1 - 3 20 11 8 39\n4 - 6 24 13 6 43\n7 - 9 23 10 5 38\ntotal 67 34 19 120\nrashad wants to perform a $chi^{2}$ test of independence between floor and satisfaction.\nwhat is the expected count for the cell corresponding to satisfied guests that stayed in floors 7 to 9?\nyou may round your answer to the nearest hundredth.\nexpected:

rashad is a hotel manager. he surveyed a random sample of 120 guests and asked them which floor their room was and about their level of satisfaction. here are the results:\nhotel floor satisfied neutral not satisfied total\n1 - 3 20 11 8 39\n4 - 6 24 13 6 43\n7 - 9 23 10 5 38\ntotal 67 34 19 120\nrashad wants to perform a $chi^{2}$ test of independence between floor and satisfaction.\nwhat is the expected count for the cell corresponding to satisfied guests that stayed in floors 7 to 9?\nyou may round your answer to the nearest hundredth.\nexpected:

Answer

Answer:

$21.48$

Explanation:

Step1: Identify row - total

The row - total for floors 7 - 9 is $38$.

Step2: Identify column - total

The column - total for satisfied guests is $67$.

Step3: Identify grand - total

The grand - total of all guests is $120$.

Step4: Calculate expected count

The formula for the expected count in a chi - square test of independence is $E=\frac{\text{Row Total}\times\text{Column Total}}{\text{Grand Total}}$. So, $E = \frac{38\times67}{120}=\frac{2546}{120}\approx21.48$.