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At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p*.

 

 

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Priyanshu Patel
Priyanshu PatelLv10
10 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes larger 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportion 

(b) The population proportion 

(c) The population mean

(d) The population mean

 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

 

 

Suppose a random sample of size 10 was taken from a normally distributed population, and the sample standard deviation was calculated to be s = 5.2.

 

a)  Calculate the margin of error for a 95% confidence interval for the population mean.

 

Give your response to at least 3 decimal places.

   

 

 

b)  Calculate the margin of error for a 90% confidence interval for the population mean.

 

Give your response to at least 3 decimal places.

 

A simple random sample of 400 individuals provides 100 Yes responses.
 
a. What is the point estimate of the proportion of the population that would provide Yes responses (to 2 decimals)?
 
b. What is your estimate of the standard error of the proportion (to 4 decimals)?
 
c. Compute the 95% confidence interval for the population proportion (to 4 decimals).

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