Question

In a sample of 331 Americans, 48% decided to not go to college because they cannot afford it.

(b) Suppose we wanted the margin of error for the 90% confidence level to be at most 1.5%. How large of a survey would you recommend?(Do not use the estimate of p given by the sample.)

(c) Suppose we wanted the margin of error for the 90% confidence level to be at most 1.5%. How large of a survey would you recommend? (Now make the estimate that p ≈ 0.48)

Answer #1

(b)

If we do not have any estimate of p, we will assume p = 0.5 for the conservative value of sample size. This is because the sample size is largest for the p = 0.5 at a given margin of error.

z value for 90% confidence level is 1.645

Margin of error, E = 1.5% = 0.015

Sample size, n = =

= 3007 (Rounded to nearest integer)

We recommend survey with sample size of 3007

(c)

For p = 0.48

Sample size, n = =

= 3002 (Rounded to nearest integer)

We recommend survey with sample size of 3002.

6.18 Is college worth it? Part II: Exercise
6.16 presents the results of a poll where 48% of 331 Americans who
decide to not go to college do so because they cannot afford
it.
(a) Calculate a 90% confidence interval for the proportion of
Americans who decide to not go to college because they cannot
afford it, and interpret the interval in context.
lower bound: _________ (please round to four decimal
places)
upper bound: _________(please round to four decimal
places)...

(1 point)
Is college worth it? Part I
Among a simple random sample of 331 American adults who do not
have a four-year college degree and are not currently enrolled in
school, 48% said they decided not to go to college because they
could not afford school. A newspaper article states that only a
minority of the Americans who decide not to go to college do so
because they cannot afford it and uses the point estimate from this
survey...

6.16 Is college worth it? Part I: Among a
simple random sample of 331 American adults who do not have a
four-year college degree and are not currently enrolled in school,
48% said they decided not to go to college because they could not
afford school.
(a) A newspaper article states that only a minority of the
Americans who decide not to go to college do so because they cannot
afford it and uses the point estimate from this survey...

Is college worth it? Among a simple random sample of 334
American adults who do not have a four-year college degree and are
not currently enrolled in school, 157 said they decided not to go
to college because they could not afford school. 1. Calculate a 90%
confidence interval for the proportion of Americans who decide to
not go to college because they cannot afford it, and interpret the
interval in context. Round to 4 decimal places. ( , )...

Is college worth it? Among a simple random sample of 341
American adults who do not have a four-year college degree and are
not currently enrolled in school, 154 said they decided not to go
to college because they could not afford school.
1. Calculate a 95% confidence interval for the
proportion of Americans who decide to not go to college because
they cannot afford it, and interpret the interval in
context. Round to 4 decimal places.
(_,_)
2. Suppose...

Is college worth it? Among a simple random
sample of 334 American adults who do not have a four-year college
degree and are not currently enrolled in school, 144 said they
decided not to go to college because they could not afford
school.
1. Calculate a 99% confidence interval for the proportion of
Americans who decide to not go to college because they cannot
afford it, and interpret the interval in context. Round to 4
decimal places.
( , )
2....

Is college worth it?
Among a simple random sample of 306
American adults who do not have a four-year college degree and
are not currently enrolled in school, 45% said they decided not to
go to college because they could not afford school.
(a) A newspaper article states that only a minority of the
Americans who decide not to go to college do so because they cannot
afford it and uses the point estimate from this survey as evidence.
Conduct...

A group of statistics students decided to conduct a survey at
their college to find the proportion of students who graduate. What
is the required sample size to estimate, with a margin of error of
.1 and a 80% confidence level, the proportion of students who
graduate?

Is college worth it? Among a simple random sample of 329
American adults who do not have a four-year college degree and are
not currently enrolled in school, 48% said they decided not to go
to college because they could not afford school. Round answers to 4
decimal places.
1. A newspaper article states that only a minority of the
Americans who decide not to go to college do so because they cannot
afford it and uses the point estimate...

Is college worth it? Among a simple random sample of 319
American adults who do not have a four-year college degree and are
not currently enrolled in school, 45% said they decided not to go
to college because they could not afford school. Round answers to 4
decimal places.
1. A newspaper article states that only a minority of the
Americans who decide not to go to college do so because they cannot
afford it and uses the point estimate...

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