1, The following table contains the number of successes andfailures for three categories of a variable. Test whether theproportions are equal for each category at the α=0.01 level ofsignificance.

_ 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 variableand success and failure are dependent.

B.The​ P-value is less than α​, so reject H0. There is notsufficient evidence that the categories of the variable and successand failure are dependent.

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

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

The following data represent the level of healthand the level of education for a random sample of 1812 residents. Complete parts​ (a) and​ (b) below.

Education	Excellent	Good	Fair	Poor
Not aH.S. graduate	125	206	94	145
H.S.graduate	69	175	72	95
Somecollege	85	177	84	113
BachelorDegree or higher	74	148	51	99

Calculate the test statistic.

whats the ​P-value