Question

In: Statistics and Probability

1, The following table contains the number of successes and failures for three categories of a...

1, The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.01 level of significance.

_ Category_1   Category_2   Category_3
Failures 69 31 33
Successes 81 32 77

What is the​ P-value?

​(Round to three decimal places as​ needed.)

What conclusion can be​ made?

A.The​ P-value is greater than or equal to α​, so reject H0. There is sufficient evidence that the categories of the variable and success and failure are dependent.

B.The​ P-value is less than α​, so reject H0. There is not sufficient evidence that the categories of the variable and success and failure are dependent.

C.The​ P-value is less than α​, so not reject H0. There is sufficient evidence that the proportions are different from each other.Your answer is not correct.

D.The​ P-value is greater than or equal than α​, so do not reject H0. There is not sufficient evidence that the proportions are different from each other.

The following data represent the level of health and the level of education for a random sample of 1812
residents. Complete parts​ (a) and​ (b) below.
Education Excellent Good Fair Poor
Not a H.S. graduate 125 206 94 145
H.S. graduate 69 175 72 95
Some college 85 177 84 113
Bachelor Degree or higher 74 148 51 99

Calculate the test statistic.

whats the ​P-value

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