A recent study by Rover. com surveyed a random sample of 1500 dog owners. The research revealed that 975 of the dog owners admit to taking more photos of their dog than their significant other. Which of the following gives a 95% confidence interval for the proportion of all dog owners that would admit to taking more photos of their dog than their significant other?

Explanation:

The correct answer is (A).

The sample proportion is \hat{p} = \frac{975}{1500} = 0.65

p

^

=

1500

975

=0.65 and the z* critical value corresponding to 95% confidence is 1.96. The standard error is \sqrt{\frac{0.65(0.35)}{1500}}

1500

0.65(0.35)

, therefore the expression that gives a 95% confidence interval for the proportion of all dog owners that would admit to taking more photos of their dog than their significant other is 0.65 \pm1.96 \sqrt{\frac{0.65(0.35)}{1500}}0.65±1.96

1500

0.65(0.35)

from the word list given, the most suitable words that relate to the reason information were written would be:  

objectivity: lack of bias, judgment, or prejudice

accuracy: free of mistakes, to be correct

authority: the ability to tell people what to do or believe in

content: to be satisfied  

it can be said that the author made the article to present objectivity, to provide accurate information, to be the authority in the subject that he or she writes, and to be satisfied of the information quality given out.

answer; blank(1); surveys; blank(2); experiment;