In: Statistics and Probability
We are interested in looking at the percentage of households that own dogs in the U.S. and England. We are given the following information:
Number of people Surveyed |
Number of people who own a dog |
|
U.S. |
700 |
294 |
England |
850 |
391 |
What is the p-value for this test if we are interested in testing to see if there is simply a difference in the proportions of people who own dogs in the U.S. and England?
a. |
0.0571 |
|
b. |
.10 < p-value < .20 |
|
c. |
0.9429 |
|
d. |
0.1142 |
We have given for the example
x1=294
n1=700
x2=391
n2=850
Estimate for sample proportion 1
Estimate for sample proportion 2
Pooled proportion
Z test statistic formula is
=-1.58
P value =0.1142....................by using Z table or Excel command =2*NORMSDIST(-1.58)
d. |
0.1142 |