RESEARCH METHODOLOGY

Detailed explanation-1: -The chi-square distribution curve is skewed to the right, and its shape depends on the degrees of freedom df. For df>90, the curve approximates the normal distribution. Test statistics based on the chi-square distribution are always greater than or equal to zero.

Detailed explanation-2: -Answer and Explanation: In general, the chi-square distributions are skewed and they are skewed to right i.e. positively skewed.

Detailed explanation-3: -The chi-square goodness-of-fit tests are always right tailed because the numerator in the test statistic is squared, making every test statistic, other class a perfect positive.

Detailed explanation-4: -The random variable for a chi-square distribution with k degrees of freedom is the sum of k independent, squared standard normal variables. The curve is nonsymmetrical and skewed to the right. There is a different chi-square curve for each df. The test statistic for any test is always greater than or equal to zero.