Explain the following steps involved in a chi-square test of independence: Identify the claim then state the null and alternative hypotheses (Ho and Ha) for this test. Select the level of significance. Calculate the test statistic. Formulate the Decision Rule and Make a Decision. Interpret your decision in terms of the claim.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Explain the following steps involved in a chi-square test of independence:

  1. Identify the claim then state the null and alternative hypotheses (Ho and Ha) for this test.
  2. Select the level of significance.
  3. Calculate the test statistic.
  4. Formulate the Decision Rule and Make a Decision.
  5. Interpret your decision in terms of the claim.
Expert Solution
Step 1

The following steps are involved in the chi-square test of independence.

Part 1:

We first identify the claim and the variables of interest and then state the null and alternate hypothesis as,

H0: The two variables are independent.

H1: The two variables are dependent.

Part 2:

The level of significance, denoted by ∝, is the probability of rejecting the null hypothesis when it is true and is generally taken to be 5%. That is ∝ = 0.05.

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