Question

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.

Answer #1

Solution:

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.03

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_{/2}
= Z_{0.025} = 1.960

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

= (1.960 / 0.03)^{2} * 0.5 * 0.5

= 1067.057

= 1067

n = sample size = 1067

(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.

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%

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%

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: 0.005;
confidence level: 96%; p and q unknown

Use the given information to find the minimum sample size
required to estimate the population proportion.
Margin of error: 0.028; confidence level: 99%; p and q
unknown

Use the given data to find the minimum sample size required to
estimate the population proportion.
Margin of error. 0.018, confidence level: 99%; p and q
unknown.

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:
six percentage points; confidence level 95%; 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 the population proportion.
Margin of error: 0.008; confidence level: 98%;
ModifyingAbove p with caret
and
ModifyingAbove q with caret
unknown

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 20 minutes ago

asked 22 minutes ago

asked 24 minutes ago

asked 31 minutes ago

asked 36 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago