Question

A multinomial experiment produced the following results (Use Table 3):

Category	1	2	3	4	5
Frequency	62	58	65	70	70

  

a.

Choose the appropriate alternative hypothesis to test if the population proportions differ.

	All population proportions differ from 0.20.
	Not all population proportions are equal to 0.20.

b.	Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.)

χ2df

c.	Specify the decision rule at the 10% significance level. (Round your answer to 3 decimal places.)

  Reject H₀ if x²_df >    

d.

Can we conclude at the 10% significance level that the population proportions are not equal?

	Yes, since the value of the test statistic is less than the critical value.
	No, since the value of the test statistic is less than the critical value.
	No, since the value of the test statistic is more than the critical value.
	Yes, since the value of the test statistic is more than the critical value.

Answer 1