In 1990, 5.8% of job applicants who were tested for drugs failed the

Question # 1In 1990, 5.8% of job applicants who were tested for drugs failed the test.A random sample of 1440 current job applicants results in 61 failures (based loosely on data from the American Management Association).
At the ? = 0.01 significance level, test the below claim (i.e., that the failure rate is now lower)
HO: p = 0.058HA: p < 0.058
a) Is this an upper tail, lower tail, or two-tail test? (5 points)
b) Are we testing means or proportions? (5 points)
c) State the rule of rejection (in terms of p-value and level of significance) (5 points)
d) Find the p-value (5 points)
 
 
e) Should you reject or not reject HO? (5 points)
 
f) Does the result suggest that fewer job applicants now use drugs? (5 points)