4. Sample Size What is the minimal sample size needed for a 99% confidence interval to have a maximal margin of error of 0.06:
5. Myers-Briggs: Actors Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). In a random sample of 62 professional actors, it was found that 39 were extroverts.
Answer:
4.
Given,
Margin of error E = 0.06
alpha = 1 - 0.99
= 0.01
Here for the 99% confidence interval , z critical value is 2.576
a)
To give the preliminary estimate for proportion p = 0.8
Now consider,
n = p(1-p)*(z/E)^2
substitute values
= 0.8(1 - 0.8)*(2.576/0.06)^2
= 0.16*1843.271111
= 294.9234
n = 295
b)
To give sample size if there is no preliminary estimate for p
let us consider,
p = 0.5 [unknown]
consider,
n = p(1-p)*(z/E)^2
substitute values
= 0.5(1 - 0.5)*(2.576/0.06)^2
= 460.82
n = 461
I hope it works for you.
Please post the remaining question as separate question. Thank you.
4. Sample Size What is the minimal sample size needed for a 99% confidence interval to...
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