David, a first--year college student, is currently completing his statistics assignment but he is not understanding the notes about chi-square distribution. Using your own words, provide responses to the following questions to assist David with understanding said topic. What is a chi-square distribution? A Chi-Square/ distribution is a continuous probability distribution used in statistical inference. This distribution has one parameter which is known as the degrees of freedom/ df. The curve of the Chi-square distribution is non- symmetrical and skewed to the right. The shape of the curve is dependent on the degrees of freedom. What is the purpose of chi-square distributions? 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 decision in terms of the claim
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
David, a first--year college student, is currently completing his statistics assignment but he is not understanding the notes about chi-square distribution. Using your own words, provide responses to the following questions to assist David with understanding said topic.
- What is a chi-square distribution?
A Chi-Square/ distribution is a continuous probability distribution used in statistical inference. This distribution has one parameter which is known as the degrees of freedom/ df. The curve of the Chi-square distribution is non- symmetrical and skewed to the right. The shape of the curve is dependent on the degrees of freedom.
- What is the purpose of chi-square distributions?
- 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 decision in terms of the claim
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