At a certain hotel, guests have come from the following locations: Use Table 3. 
Category  North America  Asia  Other  TOTAL 
Proportion  60  30  10  100 
Category  North America  Asia  Other 
Frequency  238  107  45 
a.  Choose the appropriate alternative hypothesis at H_{0}: p_{1} = 0.60, p_{2} = 0.30, and p_{3} = 0.10. 

b. 
Calculate the value of the test statistic at H_{0}: p_{1} = 0.60, p_{2} = 0.30, and p_{3} = 0.10. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) 
Test statistic 
c.  Approximate the pvalue. 

d.  At 5% significance level, can we reject H_{0}: p_{1} = 0.60, p_{2} = 0.30, and p_{3} = 0.10? 

rev: 11_05_2015_QC_CS31836
Question 4 of 6 Total 4 of 6
TIMED HW NEED ANSWER IN 20
(a)
Correct option:
At least one of the population proportions differs from its hypothesized value.
(b)
Test statistic is got as follows:
Category  Observed (O)  Expected (E)  (O  E)^{2}/E 
North America  238  390X0.60=234  0.0684 
Asia  107  390X0.30=117  0.8547 
Other  45  390X0.10=39  0.9231 
Total = =  1.8462 
So,
Answer is:
Test statistic  1.85 
(c)
ndf = 3  1 = 2
By Technology, P  Value = 0.3973
So,
Correct option:
Approximate P  value  P  Value > 0.100 
(d)
Correct option:
No. since p  value is more than
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