The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies are not equal. Category f0 A 10 B 3

Question

The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies are not equal. Category f0 A 10 B 30 C 30 D 10 State the decision rule, using the 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of chi-square. (Round your answer to 2 decimal place.) What is your decision regarding H0

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Hải Đăng 4 years 2021-07-17T01:10:50+00:00 1 Answers 108 views 0

Answers ( )

  1. Sigrid
    0
    2021-07-17T01:12:26+00:00
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    Answer:

    Reject H0

    Step-by-step explanation:

    Given :

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

    Category f0 A 10 B 30 C 30 D 10

    Total f0 = (10 + 30 + 30 + 10) = 80

    Expected frequency is the same for all categories :

    Expected frequency = 1/4 * 80 = 20

    χ² = Σ(observed – Expected)² / Expected

    χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20

    χ² = (5 + 5 + 5 + 5) = 20

    Pvalue = 0.00017

    Pvalue < α

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