Question

The state education commission wants to estimate the fraction of tenth grade students that have reading...

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.21 . How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99% confidence level with an error of at most 0.02? Round your answer up to the next integer.

Homework Answers

Answer #1

Solution :

Given that,

= 0.21

1 - = 1 - 0.21 = 0.79

margin of error = E = 0.02

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58 ( Using z table ( see the 0.005 value in standard normal (z) table corresponding z value is 2.58 )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.58 / 0.02)2 * 0.21 * 0.79

=2761

Sample size = 2761

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.17. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 95% confidence level with an error of at most 0.02? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.17. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.02? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.18. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99% confidence level with an error of at most 0.03? Round your answer up to the next integer.
he state education commission wants to estimate the fraction of tenth grade students that have reading...
he state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.18 0.18 . How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% 98% confidence level with an error of at most 0.02 0.02 ? Round your answer...
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.16. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.03? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.180.18. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90%90% confidence level with an error of at most 0.020.02? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.220.22. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85%85% confidence level with an error of at most 0.030.03? Round your answer up to the next integer.
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2: Suppose a sample of 1223 tenth graders is drawn. Of the students sampled, 232 read at or below the eighth grade level. Using the data, construct the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
he state education commission wants to estimate the fraction of tenth grade students that have reading...
he state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 2751 2751 tenth graders is drawn. Of the students sampled, 2146 2146 read above the eighth grade level. Using the data, construct the 99% 99 % confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to...