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B) There are __ degrees of freedom. C) The critical value is ___ D) Should the n

ID: 3327046 • Letter: B

Question

B) There are __ degrees of freedom.

C) The critical value is ___

D) Should the null hypthesis be rejected?

*No, because X^2/0 is less than or equal to x^2/0.05

*No because X^2/0 is greater than X^2/0.05

*Yes Because X^2/0 is less than or equal to X^2/0.05

*Yes Because X^2/0 is greater than X^2/0.05

x 3 Determine (a) the X2 test statistic (b) the degrees of freedom (c) the critical value using = 0.05 and (d) test the hypothesis at the = 0.05 level of significance. 0 4 37 121 441 390 1 2 Observed Expected 1.6 25.4 152.5 406.7 406.7 Ho: The random variable X is binomial with n= 4, p= 0.8 H1: The random variable X is not binomial with n= 4, p : 0.8 (a) The test statistic is (Round to two decimal places as needed.)

Explanation / Answer

Answer:

Test statistic = 18.98

B) There are 4 degrees of freedom.

C) The critical value is 9.488

D) Should the null hypothesis be rejected?

*No, because X^2/0 is less than or equal to x^2/0.05

*No because X^2/0 is greater than X^2/0.05

*Yes Because X^2/0 is less than or equal to X^2/0.05

Answer: *Yes Because X^2/0 is greater than X^2/0.05

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

4

1.600

2.400

3.600

37

25.400

11.600

5.298

121

152.500

-31.500

6.507

441

406.700

34.300

2.893

390

406.700

-16.700

0.686

Total

993

992.900

18.983

18.983

chi-square

4

df

.0008

p-value

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

4

1.600

2.400

3.600

37

25.400

11.600

5.298

121

152.500

-31.500

6.507

441

406.700

34.300

2.893

390

406.700

-16.700

0.686

Total

993

992.900

18.983

18.983

chi-square

4

df

.0008

p-value