SOLUTION: A random sample of 225 adults was given an IQ test. It was found that 135 of them scored higher than 100. Based on this, compute a 99% confidence interval for the proportion of all
Algebra.Com
Question 1182282: A random sample of 225 adults was given an IQ test. It was found that 135 of them scored higher than 100. Based on this, compute a 99% confidence interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
point estimate p hat is (135/225)=0.6
half-interval is z(0.99)*sqrt(.6*.4/225)
=2.576*0.0327
=0.0841 or 0.08
(0.52, 0.68)
RELATED QUESTIONS
A random sample of 225 adults was given an IQ test. It was found that 117 of them scored... (answered by Theo)
Numerous studies have shown that IQ scores have been increasing, generation by... (answered by stanbon)
The scores of adults on an IQ test are approximately Normal with mean 100 and standard... (answered by edjones)
"A random sample of 80 cell phones was inspected in a cell phone factory. It was found... (answered by stanbon)
On a particular test, IQ scores for adults follow a bell-shaped distribution with mean=... (answered by stanbon)
it was found that 25% of all applicants for a position scored less than 160 points on an... (answered by stanbon)
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the... (answered by rothauserc)
Questions 24-25
The scores of a standardized IQ test are normally distributed with a... (answered by ewatrrr)
An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the... (answered by rothauserc)