A hypothesis test was conducted to see whether there is an association between a person’s income level and his or her education level. A random sample of 225 people was selected, and the appropriate hypothesis test was conducted. The chi-square test statistic and corresponding p-value were approximately 13.36 and 0.01, respectively. Which of the following is the correct interpretation of the p-value in the context of the test?
a,,
Assuming that a person’s income level and education level are independent, there is a 1 percent chance of finding a test statistic of 13.36 or greater.
b,
Assuming that a person’s income level and education level are dependent, there is a 1 percent chance of finding a test statistic of 13.36 or greater.
c,
Assuming that a person’s income level and education level are independent, there is a 1 percent chance of finding a test statistic of 13.36 or smaller.
d,
Assuming that a person’s income level and education level are dependent, there is a 1 percent chance of finding a test statistic of 13.36 or smaller.
e,
Assuming that a person’s income level and education level are independent, there is a 1 percent chance of finding a test statistic of exactly 13.36.