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Mathematics, 06.01.2021 20:50 pr47723

Question 4 A travel agency was curious about whether the service a guest receives is related to the size of the hotel. A sample
of 300 customers was selected at random to gather the information. The data were analyzed using SPSS and the
following tables were obtained.
Opinion on services*Size of Hotel Crosstabulation
Size of Hotel
Large Mid-size Small Total
Satisfied Count
80
40
E
150
Opinion
Expected Count 80.0 45.0 25.0 150.0
So-so Count
60
30
10
100
Expected Count 53.3 30.0 16.7 100.0
Dissatisfied Count
20
20
10
50
Expected Count
F
15.0
8.3 50.0
Total Count
160
90
50
300
Expected Count 160.0 900
50.0 300.0
a) Compute the values of E and F.
(2 marks)
b) State the null and alternative hypotheses to test whether the customers' opinion and the size of the hotel are
related.
(2 marks)
c) State your decision and conclusion for the above test. Use a = 0.10.
I
(5 marks)

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