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 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?

Answer #1

(a)

Given:

The margin of error for difference in proportion is define as,

Where,

The required sample size is,

(b)

Now, since the point estimate for the male and female proportions are not given, in this case the point estimate for each male and female will be 0.50.

Now the sample size will be

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?

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 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 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 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 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
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 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 regualr
sustained physical activity. what sample size should be obtained if
he wishes the estimate to be within two percentage points witb 90%
confindence, assuming that,
a) he uses the estimates of 21.3% male and 18.2% female from
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 two percentage points with 90%
confidence, assuming that
(a) he uses the estimates of 21.9% male and 19.8% female from
a previous year?
(b) he does not use any prior estimates?
(a) n= __ (Round up to the nearest whole number.)
(b) n=___(Round up...

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