tHE BATTLE OF MEN VS. WOMEN
THE STUDY
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SAMPLING
We used an observational study to obtain our data. Our population of interest was the customers who enter Taco Bell and order at the register. Our sample was the amount of all male and female customers of Taco Bell in North Olmsted, Ohio who order food at the register on the days Saturday, May 10 from 4:00 p.m.-6:00 p.m., Saturday, May 3 from 4:00 p.m.-6:00 p.m., and Thursday, May 15 from 4:00 p.m.-5:00p.m. We only used the people who came inside to order at the restaurant to order at the register in the study. Each of our samples was obtained by dividing our time periods into 10 minute intervals.
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HYPOTHESIS TEST
We used a two-proportion t-test for our study. One of the proportions was the girls and one was the boys. The proportions were determined based on the amount of girls or boys who ordered at the register in 10 minute intervals.
Test and CI for Two Proportions
Sample X N Sample p
1 37 110 0.336364
2 73 110 0.663636
Difference = p (1) - p (2)
Estimate for difference: -0.327273
95% CI for difference: (-0.452136, -0.202409)
Test for difference = 0 (vs not = 0): Z = -5.14 P-Value = 0.000
Fisher's exact test: P-Value = 0.0001.
P2=the true proportion of males who order at the register at Taco Bell in North Olmsted, Ohio.
2. Ho: P
3.
4. a=0.05
5.
6. Assumptions:
1. Sample sizes are large enough.
n1: 30(1-(73/110))=10.09>10
30(0.663636)=19.91>10
n2 : 30(1-(37/110))=19.91>10
30(0.336364)=10.09>10
2. Samples are random and independent.
7. Z= -5.14
8.p-value=0
9. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis. Therefore, there is convincing evidence that the difference between the proportion of boys and the proportion of girls who order at the register at the Taco Bell in North Olmsted is significantly different than 0.
