Question

# At a certain hotel, guests have come from the following locations: Use Table 3.   Category North...

 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 H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10. All population proportions differ from their hypothesized values. At least one of the population proportions differs from its hypothesized value.
 b. Calculate the value of the test statistic at H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
 Test statistic
 c. Approximate the p-value. p-value < 0.005 p-value > 0.100 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100
 d. At 5% significance level, can we reject H0: p1 = 0.60, p2 = 0.30, and p3 = 0.10? Yes since the p-value is less than α. Yes since the p-value is more than α. No since the p-value is less than α. No since the p-value is more than α.

rev: 11_05_2015_QC_CS-31836

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,

 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