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