When conducting a chi-square goodness-of-fit test, you need to determine how the expected counts are calculated.
The purpose of the chi-square goodness-of-fit test is to compare the observed counts in discrete categories to the counts expected under a specific hypothesis. This hypothesis is often the null hypothesis, which states that there is no significant difference between the observed and expected counts.
To calculate the expected counts:
1. Identify the proportions specified in the null hypothesis. These proportions represent the expected distribution of the counts across the categories if the null hypothesis is true.
2. Multiply each proportion by the total sample size to find the expected count for each category.
Therefore, the expected counts are determined by multiplying each proportion in the null hypothesis by the sample size.
So the correct answer is:
D. The expected counts are calculated by multiplying each proportion in the null hypothesis by the sample size.
