Question

(S 9.1) Determine the minimum sample size required in order to
estimate *p*, the population proportion, to within 0.03,
with:

a) 95% confidence.

b) 99% confidence.

Answer #1

We have p is unknown therefore, consider p=0.5, q=0.5

We can use here,

a) 95% confidence.

Z critical value for 95% confidence level is 1.96

=1067.11

Therefore,the minimum sample size required in order to estimate p, the population proportion, to within 0.03, with 95% confidence will be 1068

b) 99% confidence.

= 1849

Therefore,the minimum sample size required in order to estimate p, the population proportion, to within 0.03, with 99% confidence will be 1849

Determine the minimum sample size required in order to estimate
p, the population proportion, to within 0.05, with:
a) 95% confidence.
b) 99% confidence.

Determine the minimum sample size required in order to estimate
p, the population proportion, to within 0.04 with 90%
confidence, when a previous study has shown
that p is approximately 0.66. Use this value in
your formula for determining sample size.

Find the minimum sample size n necessary to estimate a
population proportion p with a 95% confidence interval that has a
margin of error m = 0.03.

Use the given data to find the minimum sample size required to
estimate the population proportion. Margin of error: 0.09;
confidence level: 99%; and unknown

A. Determine the sample size required to estimate a population
proportion to within 0.034 with 93.2% confidence, assuming that you
have no knowledge of the approximate value of the sample
proportion.
Sample Size =
B. Repeat part the previous problem, but now with the knowledge
that the population proportion is approximately 0.3.

Use the given data to find the minimum sample size required to
estimate a population proportion or percentage. Margin of error:
eight percentage points; confidence level 95%; from a prior study,
p hat is estimated by the decimal equivalent of 32%

Determine the required sample size to estimate
a population proportion with a Confidence Level of 95% and E =
0.084.

Use the given data to find the minimum sample size required to
estimate a population proportion or percentage.
Margin of error: five percentage points; confidence level
95%; from a prior study, Modifying Above p with caret is
estimated by the decimal equivalent of 58%

Find the minimum sample size required to estimate a population
proportion with a margin of error = 0.05 a confidence level of 90%,
and from a prior study, p is estimated to be .25
(a)
203
(b)
329
(c)
247
(d)
396
(e) 289

Use the given data to find the minimum sample size required to
estimate the population proportion.
Margin of error: 0.04; confidence level: 95%; from a prior
study, is estimated by the decimal equivalent of
52%.

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