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In which situation may the sample proportion safely be assumed to follow a normal distribution?

A. successes in a sample of items. 

B. successes in a sample of  items. 

C. successes in a sample of  items. 

D. successes in a sample of  items. 

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Priyanshu Patel
Priyanshu PatelLv10
21 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Determine whether the statement is true or false. To estimate the value of p, the population proportion of successes, use the point estimate x. 

A. False, to estimate the value of p, use the point estimate  

B. False, to estimate the value of p, use the point estimate  

C. True, to estimate the value of p, use the point estimate  

D. False to estimate the value of p, use the point estimate  

 

What are the four conditions necessary for x to have a binomial distribution? Mark all that apply.

A) The probability of success, p, is constant from trial to trial.

B) There can only be two outcomes, success and failure.

C) The trials must be independent.

D) You must have at least 10 successes and 10 failures.

E) X can take on any value in an interval.

F) X counts the number of trials until you get a success.

G) There are n set trials.

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is 15 .

a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.
( ,  )

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places.
( ,  )

c. What is the effect of a larger sample size on the interval estimate?

Larger sample provides a  margin of error.
 

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