RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CHI SQUARE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
How are the expected counts calculated when a chi-square goodness-of-fit test is conducted?
A
The expected counts are calculated by multiplying each proportion in the null hypothesis by 100.
B
The expected counts are calculated by multiplying each proportion in the alternative hypothesis by 100.
C
The values observed from the sample are the expected counts.
D
e expected counts are calculated by multiplying each proportion in the null hypothesis by the sample size.The expected counts are calculated by multiplying each proportion in the null hypothesis by the sample size.D
E
The expected counts are calculated by multiplying each proportion in the alternative hypothesis by the sample size.
Explanation: 

Detailed explanation-1: -How are the expected counts calculated when a chi-square goodness-of-fit test is conducted? The expected counts are calculated by multiplying each proportion in the null hypothesis by the sample size.

Detailed explanation-2: -In conducting a goodness-of-fit test, we compare observed counts to expected counts. Observed counts are the number of cases in the sample in each group. Expected counts are computed given that the null hypothesis is true; this is the number of cases we would expect to see in each cell if the null hypothesis were true.

Detailed explanation-3: -You can safely use the chi-square test with critical values from the chi-square distribution when no more than 20% of the expected counts are less than 5 and all individual expected counts are 1 or greater. In particular, all four expected counts in a 2 × 2 table should be 5 or greater.

Detailed explanation-4: -A chi-square (2) goodness of fit test is a goodness of fit test for a categorical variable. Goodness of fit is a measure of how well a statistical model fits a set of observations. When goodness of fit is high, the values expected based on the model are close to the observed values.

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