When we carry out a chi-square goodness-of-fit test

Anika Wolfe

Anika Wolfe

Answered question

2022-03-12

When we carry out a chi-square goodness-of-fit test for a normal distribution, the null hypothesis states that the population?

Answer & Explanation

yourboytoyo1e

yourboytoyo1e

Beginner2022-03-13Added 4 answers

Goodness of fit:
Goodness of fit test is applied to check how well the sample data obtained fits the distribution of the selected population. It can also be viewed as whether the frequency distribution fits the given pattern. Most commonly used test to check the goodness of fit is the chi-square test.
There are two values involved are observed and the expected values. The observed value represents the frequency of particular category in the sample and the expected value is obtained from the given distribution. Moreover, it summarizes the difference between the expected and observed values of the given data.
The hypotheses are stated as given below:
Null hypothesis: Data comes from the specified distribution.
Alternative hypothesis: Data does not come from the specified distribution.
The chi-square test statistic is calculated using the formula given below:
χ2=(OiEi)2Ei
Where,
Oi - Represents the observed values
Ei - Represents the expected values

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