Question

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.

Answer #1

Solution :

Given that,

= 0.66

1 - = 1 - 0.66 = 0.34

margin of error = E = 0.04

t 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_{/2}
= Z_{0.05} = 1.645

Sample size = n = (Z_{/2}
/ E)^{2} *
* (1 -
)

= (1.645 * 0.04)^{2} * 0.66 * 0.34

= 379.52000

Sample size = 380 (rounded)

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.

(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.

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 the population proportion.
Margin of error: 0.04; confidence level: 95%; from a prior
study, is estimated by the decimal equivalent of
52%.

Use the given data to find the minimum sample size required to
estimate a population proportion or percentage. Margin of error:
nine percentage points; confidence level 90%; from a prior study, p
hat is estimated by the decimal equivalent of 46%

use the given data to find the minimum sample size
required to estimate a population proportion or percentage margin
of error 3 percentage points confidence level 90% from a prior
study p is estimated by the decimal equivalent of 38% N equals?

Use the given data to find the minimum sample size required to
estimate the population proportion. Margin of error: 0.04;
confidence level: 85% ; ?̂ and ?̂ unknown.

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 a population proportion or percentage. Margin of error:
nine percentage points; confidence level 90 %; from a prior study,
ModifyingAbove p with caret is estimated by the decimal equivalent
of 56 % nequals nothing (Round up to the nearest integer.)

Use the given data to find the minimum sample size required to
estimate a population proportion or percentage. Margin of error:
two percentage points; confidence level 90%; from a prior
study,
Modifying Above p with care tp is estimated by the decimal
equivalent of 38%
n=________________
(Round up to the nearest integer.)

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