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

orchestra answered 2 years ago
Next > < Previous

Related Solutions

QUESTION 20 We are interested in looking at the percentage of households that own dogs in...
QUESTION 20 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 The point estimate for the difference in proportions between people in the U.S. who own dogs and people in England who own dogs is: What is the p-value for this test if we are interested in testing...
3) A medical researcher is interested in knowing what percentage of the U.S. population has a...
3) A medical researcher is interested in knowing what percentage of the U.S. population has a certain gene. The researcher collect a random sample of 529 people from across the country, and tests them for the gene. The gene was present in 57 of the 529 people tested. a) Find a 90% confidence interval for the true proportion of people in the U.S. with the gene. b) Provide the right endpoint of the interval as your answer. Round your answer...
4) A medical researcher is interested in knowing what percentage of the U.S. population has a...
4) A medical researcher is interested in knowing what percentage of the U.S. population has a certain gene. The researcher collect a random sample of 515 people from across the country, and tests them for the gene. The gene was present in 78 of the 515 people tested. a) Find a 90% confidence interval for the true proportion of people in the U.S. with the gene. b) Provide the margin of error of the interval as your answer. Round your...
4) A medical researcher is interested in knowing what percentage of the U.S. population has a...
4) A medical researcher is interested in knowing what percentage of the U.S. population has a certain gene. The researcher collect a random sample of 510 people from across the country, and tests them for the gene. The gene was present in 42 of the 510 people tested. a) Find a 90% confidence interval for the true proportion of people in the U.S. with the gene. b) Provide the right endpoint of the interval as your answer. Round your answer...
According to a study by the American Pet Food Dealers Association, 63% of U.S. households own...
According to a study by the American Pet Food Dealers Association, 63% of U.S. households own pets. A report is being prepared for an editorial in the San Francisco Chronicle. As a part of the editorial, a random sample of 300 households showed 210 own pets. Do these data disagree with the Pet Food Dealers Association's data? Use a .05 level of significance. Why can you employ Z as the test statistic? State the null and alternate hypotheses. The decision...
Question 1: We believe that the proportion of households in California who own a dog is...
Question 1: We believe that the proportion of households in California who own a dog is less than the proportion of households in Texas who own a dog. In two independent polls, it was found that 210 out of 500 Californa households own a dog and 302 out of 500 Texas households own a dog. Use a 0.05 significance level. Question 2: For my one property, I have 104 units out of them I have received 5 non-renewal letters, with...
According to the 2017-2018 U.S. Pet Ownership & Demographics Sourcebook, 38.4% of US households own a...
According to the 2017-2018 U.S. Pet Ownership & Demographics Sourcebook, 38.4% of US households own a dog. Ms Ferguson believes the percent of households who own a dog has changed since 2018, so she polls 90 students and finds that 39 students own a dog. Test Ms. Ferguson’s claim at the α = 0.05 significance level. Regardless of which method you use, sketch a graph showing the critical region and where the test statistic falls - inside or outside the...
We are interested in comparing the percentage of females versus males who feel they are overweight....
We are interested in comparing the percentage of females versus males who feel they are overweight. The following data was collected: What is the 95% confidence interval for the difference in proportion between women and men? What is the test statistic? Male or Female Total Surveyed Number who feel they are overweight Female 146 32 Male 84 15
We are interested in conducting a study in order to determine what percentage of voters would...
We are interested in conducting a study in order to determine what percentage of voters would vote for the incumbent president. What is the minimum size sample needed to estimate the population proportion with a margin of error of 0.03 or less at 99% confidence?
1.We are interested in conducting a study in order to determine what percentage of voters of...
1.We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of +/-0.08 at 95% confidence? A.301 B.150 C.300 D.151 2.We have created a 95% confidence interval for the population mean with the result [10, 15]. What decision will we make if we test H0: m = 16 versus H1:...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT