Question

The chi-square goodness-of-fit test provides a method for performing a hypothesis test about the distribution of a variable that has c possible values. If the number of possible values is 2, that is, c=2, the chi-square goodness-of-fit test is equivalent to a procedure that you studied earlier.

a) Which procedure is that? Explain your answer.

b) Suppose that you want to perform a hypothesis test to decide whether the proportion of a population that has a specified attribute is different from p_0. Discuss the method for performing such a test if you use (1) the one-proportion z-test (page 463) or (2) the chi-square goodness-of-fit test.

Short answer

Ans:

(a) The chi-square suitability test provides a hypothesis test method for the distribution of variance with approximately c values. If the probable value of 2 is, i.e., $c=2$, the chi-square test of goodness-of-fit is equal to the process of one part of z.

(b) Suppose we want to do a hypothesis test to determine if the proportion of people with the specified attribute is different from, $p_0$. We are doing a chi-square goodness-of-fit test.

Step-by-step solution

Step 1. Given information.

given,

The chi-square goodness-of-fit test provides a method for performing a hypothesis test about the distribution of a variable that has c possible values.

Step 2. (a)  Which procedure: 

The chi-square suitability test provides a hypothesis test method for the distribution of variance with approximately c values. If the probable value of 2 is, i.e., $c=2$, the chi-square test of goodness-of-fit is equal to the process of one part of z.

Step 3. (b)  Now,

Suppose we want to do a hypothesis test to determine if the proportion of people with the specified attribute is different from,$p_0$. We are doing a chi-square goodness-of-fit test.