Based on this data, do men and women agree that Brad Pitt is the better actor?
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Brad Pit
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Angelina Jolie
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Men
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41
|
29
|
|
Women
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36
|
14
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In addition, is it a problem that the number of men and women in the sample is different? Why or why not?
Note: This is a two sample test for proportion, please use the following guidelines
- Describe the population proportions, and compute the observed values for those parameters based on the samples.
- State the null and alternative hypothesis for the test.
- Compute the p-value for the test (paste the Minitab procedure output)
- What is the conclusion of the test in practical terms, does the data provide enough evidence to conclude that men and women agree on who is better actor Brad or Angelina.
(Here are the STAT from MINITAB)
N Mean StDev SE Mean
C2 2 38.50 3.54 2.5
C3 2 21.5 10.6 7.5
Difference = μ (C2) - μ (C3)
Estimate for difference: 17.00
95% CI for difference: (-83.45, 117.45)
T-Test of difference = 0 (vs ≠): T-Value = 2.15 P-Value = 0.277 DF = 1