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Chi-squared

Total questions: 11

Worksheet time: 8mins

Name
Class
Date
1.

What is the

χ2 calculated value for the following situation.

a)

6.65

b)

6.66

c)

0.00991

d)

1

2.

If the χ2 critical value = 5.99 and the

χ2 calculated value = 7.35, what is the conclusion

a)

Reject Ho, accept H1

b)

Accept Ho, reject H1

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

3.

What is the null hypothesis?

a)

Injury type is independent of position played

b)

Injury type is dependent on the position played independent

c)

Injury type is correlated to position played.

4.

What are the degrees of freedom for the following χ² test?

a)

6

b)

2

c)

5

d)

12

5.

If we are testing at a 5% significance level and our p-value is 0.00453, what is the conclusion?

a)

Accept Ho

b)

Reject Ho

c)

We need to know chi-squared

d)

You cannot do this problem without a calculator

6.

Testing at a 5% significance level, what are the correct rejection inequalities. (check all that apply)

a)

if Xcalc2>5.99 then reject Hoif\ X_{calc}^2>5.99\ then\ reject\ Ho

b)

if Xcalc2<5.99 then reject Hoif\ X_{calc}^2<5.99\ then\ reject\ Ho

c)

if p < 0.05, then reject Ho

d)

if p>0.05, then reject Ho

7.

Find the chi-squared calculated value for the table.

a)

0.486170447

b)

1.442392006

c)

1.45

d)

2

8.

Chi-squared tests are invalid if:

a)

The calculated number is really large

b)

One of the expected values is less than 5

c)

One of the observed values is less than 5

d)

The calculated numbers is really small

9.

For a p-value from the calculator of 1.32355E-3 what would the conclusion be if testing at 10% significance level?

a)

Accept Ho

b)

Reject H1

c)

Reject Ho

d)

Need to know the chi-squared number

10.

What must be true about the expected values in a chi square test?

a)

greater than or equal to 2

b)

greater than or equal to 5

c)

greater than or equal to 10

d)

greater than or equal to 30

11.

If the χ2 critical value = 5.99 and the

χ2 calculated value = 7.35, what is the conclusion

a)

Reject Ho

b)

Do not reject Ho

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value