Question

In: Statistics and Probability

We are interested in looking at the percentage of households that own dogs in the U.S....

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

Solutions

Expert Solution

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


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