Question

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within four percentage points with 95% confidence, assuming that

a) she uses the estimates of 21.8% male and 19.6% female from a previous year?

b) she does not use any prior estimates?

Answer #1

Given that,

a) p1 = 0.218, q1 = 1 - 0.218 = 0.782

p2 = 0.196, q2 = 1 - 0.196 = 0.804

E = 0.04

Sample size required is

n=(p1
* (1-p1) +(p2 * (1-p2) ) * ((Zalpha/2)/E)^{2}

for 95% confidence, the critical value=Zalpha/2=1.96

then,

n=
(0.218 * (0.782) +(0.196 * (0.804) ) *
((1.96)/0.04)^{2}

Sample size =n =402

b) p1 = q1 = p2 = q2 = 0.50

E = 0.04

For 99% confidence, z = 1.96

Hence,

Sample size required is

n=(0.50* (0.50) +(0.50 * (0.50) ) * ((1.96)/0.04)^{2}

sample size=n = 1201

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if she
wishes the estimate to be within two percentage points with 90%
confidence, assuming that
(a) she uses the estimates of 21.8% male and 19.3% female from a
previous year?
(b) she does not use any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if she
wishes the estimate to be within four percentage points with 90%
confidence, assuming that
(a) she uses the estimates of 22.8% male and 19.4% female
from a previous year?
(b) she does not use any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. what sample size should be obtained if he wishes
the estimates to be within three percentage points with a 95%
confidence, assuming that
a) he uses the estimate of 22.7% male and 19.1% female from a
previous year?
b) he does not use any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if he wishes
the estimate to be within three percentage points with
95%confidence, assuming that
(a) he uses the estimates of 22.4% male and 19.3% female from
a previous year? n=?
(b) he does not use any prior estimates? n=?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if he wishes
the estimate to be within five percentage points with 99%
confidence, assuming that (a) he uses the estimates of 21.3%
male and 18.2% female from a previous year? (b) he does not use
any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if
hehe
wishes the estimate to be within
fourfour
percentage points with
9999%
confidence, assuming that(a)
hehe
uses the estimates of
22.522.5%
male and
18.418.4%
female from a previous year?(b)
hehe
does not use any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if he wishes
the estimate to be within two percentage points with 90%
confidence, assuming that
(a) he uses the estimates of 21.6% male and 19.8% female from
a previous year
(b) he does not use any prior estimates?

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if he wishes
the estimate to be within five percentage points with 99%
confidence, assuming that (a) he uses the estimates of 22.7%
male and 18.4% female from a previous year? (b) he does not use
any prior estimates?
a) n=
b) n=

A physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if
hehe
wishes the estimate to be within
twotwo
percentage points with
9090%
confidence, assuming that(a)
hehe
uses the estimates of
21.621.6%
male and
19.719.7%
female from a previous year?(b)
hehe
does not use any prior estimates?
(a)
nequals=nothing
(Round up to the nearest whole number.)

a
physical therapist wants to determine the difference in the
proportion of men and women who participate in regular sustained
physical activity. What sample size should be obtained if
hehe
wishes
the estimate to be within
twotwo
percentage
points with
9999%
confidence, assuming
that
(a)
hehe
uses
the estimates of
22.622.6%
male
and
18.118.1%
female
from a previous year?
(b)
hehe
does
not use any prior estimates?
(a)
nequals=
nothing
(Round up to the
nearest whole number.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 29 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago