1 Use the appropriate table to find the following chisquare

1. Use the appropriate table to find the following chi-square value: X².10 for df = 6.

A) 10.645   B) 2.204 C) 9.236 D) 12.017

2. When using any procedure to perform a hypothesis test, the user should always be certain that the experiment satisfies the assumptions given with the procedure.

A) True B) False

3. The sampling distribution for x² works well when expected counts are very small.

A) True B) False

4. In a test of independence, it is safe to conclude that the events are independent when the value of X² is very small.

A) True B) False

5. The X²- test for independence is a useful tool for establishing a causal relationship between two factors.

A) True B) False

Solution

1. From chi sqaure table for df=6 and level of significance 0.10 chi sqaure value is 10.645. Hence option A is correct.

2.

Before performing the selected hypothesis test user should check that assumotions are satisfied or not. So given statement is true. Hence, option A is correct.

3.

For a chi sqaure test the expected frequency of the number of sample observations in each level of the variable is at least 5. So given statement is false. Hence, option B is correct.

4.

When value chi sqaure is less tha critical value of chi square statistics, we can conclude that  the events are independent . So given statement is false. hence, option B is true.

5.

No, chi square test of independnce is used to test whether are variables are independent or not. hence, option B is correct.