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The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies...

The null hypothesis and the alternate hypothesis are:

H0: The frequencies are equal.
H1: The frequencies are not equal.

Category f0
A 25
B 15
C 25
D 15

  1. State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.)

Reject H0 if chi-sqaure > _____.

  1. Compute the value of chi-square. (Round your answer to 2 decimal place.)

Chi-square value: _____.

  1. What is your decision regarding H0?

Do not reject or Reject H0. The frequencies are Equal or Not equal.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Decision rule, using the 0.01 significance level. (Round your answer to 3 decimal places.)

Reject H0 if chi-sqaure > 7.815

a) From the given data

Observed Expected
Color Freq (Oi) Probability Freq Ei (Oi-Ei)^2 /Ei
A 25 0.25 20 1.2500
B 15 0.25 20 1.2500
C 25 0.25 20 1.2500
D 15 0.25 20 1.2500
Total: 80 80 5.0000

b) since Chi-square value < Chi-square critical so we accept H0

Correct Statement: Do not reject H0 . The frequencies are Equal

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