Purchase Solution

# Confidence Interval

Not what you're looking for?

It is desired to estimate which of the two soft drinks, Coke or Pepsi, UCLA students prefer. A random sample of 167 UCLA students produced the following 95% confidence interval for the proportion of UCLA students who perfer Pepsi: (.344, .494) A. Is this a large enough sample for this analysis to work? aa) Yes, since N=167, which is 30 or more. bb) Yes, 95% is a very high confidence. cc) No. dd) Not enough information. I think the answer is aa), but correct me if i am wrong. B. Which of the following is a practical interpretation of this 95%confidence interval? aa) 95% confident that the number of UCLA students who prefer Pepsi is .344 to .494 bb)The probability of 95% of UCLA students in this sample preferring Pepsi is between .344 and .494 cc) 95% confident that the proportion of all UCLA students who prefer Pepsi is between .344 and .494 C. If you are asked to estimate the population proportion of UCLA students preferring Pepsi, which of the following is the best estimate? aa) 34.4% bb) 49.4% cc) 50% dd) 41.9% Please explain or show how you derived your solution and add any comments that might be helpful.

##### Solution Summary

It is desired to estimate which of the two soft drinks, Coke or Pepsi, UCLA students prefer. A random sample of 167 UCLA students produced the following 95% confidence interval for the proportion of UCLA students who perfer Pepsi: (.344, .494) A. Is this a large enough sample for this analysis to work? aa) Yes, since N=167, which is 30 or more. bb) Yes, 95% is a very high confidence. cc) No. dd) Not enough information. I think the answer is aa), but correct me if i am wrong. B. Which of the following is a practical interpretation of this 95%confidence interval? aa) 95% confident that the number of UCLA students who prefer Pepsi is .344 to .494 bb)The probability of 95% of UCLA students in this sample preferring Pepsi is between .344 and .494 cc) 95% confident that the proportion of all UCLA students who prefer Pepsi is between .344 and .494 C. If you are asked to estimate the population proportion of UCLA students preferring Pepsi, which of the following is the best estimate? aa) 34.4% bb) 49.4% cc) 50% dd) 41.9%

##### Solution Preview

A) Yes , N= 167 is a large enough sample to work.

B) bb)The ...

Solution provided by:
###### Education
• BE, Bangalore University, India
###### Recent Feedback
• "What does 1 and 0 means in the repair column?"
• "Went through all of the formulas, excellent work! This really helped me!"
• "try others as well please"
• "Thank you, this helped a lot. I was not sure how to plug in those numbers to a formula. This was a great help. Now I have to figure out how to explain cost of capital is used in net present value analysis, and how cost of capital is used in net present value analysis. This stuff gets confusing."

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.