As Senior Class President, one of your lifelong duties is overseeing the plannin

Question

As Senior Class President, one of your lifelong duties is overseeing the planning of your high school reunions. Your cross-town high school rivals had their reunion a month ago and 63 of their 413 alumni attended. You and your team added some extra events and lowered the cost to encourage more people to attend, and for your reunion you had the same number of attendees, but your graduating class only had 327 students. Using a 90% confidence level, can you accurately claim that your class had a higher attendance rate than your cross-town rivals? Step 1) What type of hypothesis test is required here? How would you run this test in MINITAB (Menus, Functions used Is this a left-tailed, right-tailed, or two-tailed test? Step 2) Verify all assumptions required for this test Step 3) State the null and alternate hypotheses for this test: (use correct symbols and format!) Null hypothesis Alternate hypothesis Step 4) Run the correct test in MINITAB and provide the information below. Use correct symbols and round answers to 3 decimal places. Test Statistic Critical Value p-value Step 5) State your statistical decision (and justify it!) Step 6) Interpret your decision within the context of the problem: what is your conclusion?

Explanation / Answer

this is 2-proportion test
right-tailed as we want to test if proportion of our class is more than our crosstoens rivals

stat -> basic statitcs - 2 proportions

b)
all assumptions are satisfied as sample sizes are large enough
c)
Ho: p1 = p2
Ha: p1 > p2
p1 = attendance rate of our own class
p2 = attendance rate of rival

d)

Test and CI for Two Proportions

Sample   X    N Sample p
1       63 327 0.192661
2       63 413 0.152542

Difference = p (1) - p (2)
Estimate for difference: 0.0401182
90% lower bound for difference: 0.00412790
Test for difference = 0 (vs > 0): Z = 1.44 P-Value = 0.075

TS = 1.44
critical value = 1.282
p-value = 0.075
e)
since p-value < 0.10
we reject the null hypothesis

f)
we conclude that there is sufficient evidence that our class has higher attenadance
rate than that of rival

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