Posted by Torri on Tuesday, April 23, 2013 at 5:23pm.
Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 Americans who did attend college, 41 claim that they believe in extraterrestrials. At the 1% significance level, does this indicate that the proportion of people who attended college who believe in extraterrestrials is higher than the proportion who did not attend college?

Statistics  MathGuru, Tuesday, April 23, 2013 at 7:20pm
Try a ztest for proportions (two samples).
Here is one such formula:
z = (p1  p2)/(√pq)[√(1/n1 + 1/n2)]
p1 = 41/100 = .41
p2 = 37/100 = .37
p = (x1 + x2)/(n1 + n2) = (41 + 37)/(100 + 100) = 78/200 = .39
q = 1  p = 1  .39 = .61
Substitute into the formula:
z = (.41  .37)/[√(.39)(.61)][√(1/100 + 1/100) = .58 (rounded)
Testing at the 1% significance level for a onetailed test, you will fail to reject the null. You cannot conclude a difference.
Double check these calculations.
I hope this helps.
Answer This Question
Related Questions
 statistics  1. 35% of North Americans do not think that college education is a ...
 Lincoln College Of New En  A survey by Menâ€™s Health magazine stated that 14% of...
 statistics  1. In a biology class, your final grade is based on several things...
 MATH  It is estimated that 17% of americans have blue eyes. A random sample of ...
 Stat college  It is estimated that 17% of americans have blue eyes. A random ...
 Statistics 2 please give answers to the below ques  According to a study ...
 statistics  In the past a certain college has found that 35% of the students ...
 statistics  The Dean of a university claims that no more than 10% of the ...
 Statistics  1. A study of 40 people found that they could do on the average15 ...
 statistics  A city survey found that 47% of teenagers have a part time job. The...
More Related Questions