Ch 11 Extra Credit Flashcard

Front

What is the alternative hypothesis in a chi-square test?

Back

The alternative hypothesis states that there is a significant difference between the observed and expected frequencies.

Front

What does a chi-square statistic measure?

Back

The chi-square statistic measures how expectations compare to actual observed data.

Front

How do you calculate degrees of freedom for a chi-square test?

Back

Degrees of freedom for a chi-square test is calculated as (number of categories - 1).

Front

What is the significance of the p-value in hypothesis testing?

Back

The p-value indicates the probability of obtaining the observed results, or more extreme, if the null hypothesis is true.

Front

What does it mean if the p-value is less than 0.05?

Back

It suggests that there is strong evidence against the null hypothesis, leading to its rejection.

Front

What is the chi-square distribution?

Back

The chi-square distribution is a probability distribution that describes the distribution of the sum of the squares of independent standard normal random variables.

Front

What happens to the chi-square distribution as degrees of freedom increase?

Back

As degrees of freedom increase, the chi-square distribution becomes more symmetric and its mean increases.

Front

What is the null hypothesis in a chi-square test?

Back

The null hypothesis states that there is no significant difference between the observed and expected frequencies.

Front

What is a chi-square test used for?

Back

A chi-square test is used to determine if there is a significant association between categorical variables.

Front

What does a chi-square statistic of X2 = 8.134 indicate?

Back

It indicates the calculated value of the chi-square statistic based on the observed data.