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_1Â Â Category_2Â Â 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
