Question

In: Statistics and Probability

Which of the following statistical tests is commonly used to test a hypothesis? a- chi-square test...

Which of the following statistical tests is commonly used to test a hypothesis?

a- chi-square test

b-Student t-test

c- Z-test

d- All of the above

Solutions

Expert Solution

The correct option is d - All of the above

chi-square test:

The formula for the chi-square statistic used in the chi square test is:

A chi-square statistic is one way to show a relationship between two categorical variables. The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.

The Chis-squared Test can be used to test the hypothesis for:

1. goodness of fit

2.  Independence of population

Student t-test:

Student t -test is used to test the hypothesis of equality of two means when the sample size is small (n< 30)

Z-test: Z test is also used to test the hypothesis of equality of two means when the sample size is large (n > 30)

we can see all the given tests are used for hypothesis testing of any kind. Hence the correct option is d


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