A multinomial experiment produced the following results: Use Table 3 Category Fr

ID: 3060079 • Letter: A

Question

A multinomial experiment produced the following results: Use Table 3 Category Frequency 2 87 128 185 a, choose the appropriate alternative hypothesis at Hop,-0.30, p2-0.20, and 0.50. All population proportions differ from their hypothesized values O At least one of the population proportions differs from its hypothesized value b. Calculate the value of the test statistic at Ho P 0.30, p2 020, and p3 0.50. (Round inter calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic C. Approximate the p-value value 0.005 0010 p-value s 0.025 0.025

Explanation / Answer

Result:

a).

Atleast one of the population proportions differ from its hypothesized value.

b).

Test statistic = 2.27

c).

P value > 0.100

No, since p value is more than .

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

128

120.000

8.000

0.533

80.000

7.000

0.613

185

200.000

-15.000

1.125

Total

400

400.000

2.271

2.27

chi-square

.3213

p-value