In: Statistics and Probability
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