Two STATS Problems Set
Question # 00047887
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Updated on: 02/11/2015 12:17 AM Due on: 02/11/2015
Question # 1
In 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 = 0.058
HA: 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)
Question # 2
Perform the following hypothesis test on the paired data below:
HO: µd = 0 (Please recall that µd is read ~ and also known as ~ Mu-sub-d) HA: µd ? 0 Test at ? = 0.05
Before 30 72 97 59 61 57 57 89 92
After 57 68 98 62 67 71 68 96 98
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) Do the data provide sufficient evidence to suggest the After scores are indeed higher? Why or why not? (5 points)
Note: Because the above is a two-tail test, rejection of Ho alone is not a sufficient reason. Hint: What else did you observe among the sample results?
Perform the following hypothesis test on the paired data below:
HO: µd = 0 (Please recall that µd is read ~ and also known as ~ Mu-sub-d) HA: µd ? 0 Test at ? = 0.05
Before 30 72 97 59 61 57 57 89 92
After 57 68 98 62 67 71 68 96 98
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) Do the data provide sufficient evidence to suggest the After scores are indeed higher? Why or why not? (5 points)
Note: Because the above is a two-tail test, rejection of Ho alone is not a sufficient reason. Hint: What else did you observe among the sample results?
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Solution: Two STATS Problems Set Solution