Random samples of employees in fast-food restaurants where the
employer provides a training program were drawn. Of a sample
of 67 employees who had not completed high school, 11 had
participated in a training program provided by their current
employer. Of an independent random sample of 113 employees
who had completed high school but had not attended college, 27 had
participated. Test at the 1% significance level the null
hypothesis that the participation rates are the same for the two
groups against the alternative that the rate is lower for those who
have not completed high school.
Conduct the appropriate hypothesis test and report the
p-value. Do not round intermediate calculations. Round your
answer to four decimal places. Include the leading zero.
Format: 0.0000