For this problem, carry at least four digits after the decimal in your calculations. Answers may
vary slightly due to rounding. A random sample of 5260 permanent dwellings on an entire
reservation showed that 1571 were traditional hogans. (b) Find a 99% confidence interval for .
(Round your answers to three decimal places.) lower limit upper limit Give a brief interpretation
of the confidence interval. 1% of all confidence intervals would include the true proportion of
traditional hogans. 99% of the confidence intervals created using this method would include the
true proportion of traditional hogans. 1% of the confidence intervals created using this method
would include the true proportion of traditional hogans. 99% of all confidence intervals would
include the true proportion of traditional hogans. (c) Do you think that np>5 and nq>5 are
satisfied for this problem? Explain why this would be an important consideration. Yes, the
conditions are satisfied. This is important because it allows us to say that p^ is approximately
binomial. No, the conditions are not satisfied. This is important because it allows us to say that p
is approximately binomial. Yes, the conditions are satisfied. This is important because it allows
us to say that p^ is approximately normal. No, the conditions are not satisfied. This is important
because it allows us to say that p^ is approximately normal.
Consider 202 binomial trials with 60 successes. (a) Is it appropriate to use a normal distribution
to approximate the p^ distribution? (Select all that apply.) I No, it is not appropriate to use a
normal distribution to approximate the distribution.
Yes.np<5andnq<5Yes.np>5andnq>5Yes.np<5andnq<5Yes.np>5andnq<5 (b) Find a 95%
confidence interval for the population proportion of successes p. (Round your answers to three
decimal places.) lower limit upper limit (c) Explain the meaning of the confidence interval you
computed. There is a 95% chance that the interval is one of the intervals containing the true
proportion. There is a 5% chance that the interval is one of the intervals containing the true
proportion. The probability that this interval contains the true proportion is 0.20 . The probability
that this interval contains the true proportion is 0.80 .
Consider 109 binomial trials with 36 successes. (a) Is it appropriate to use a normal distribution
to approximate the p^ distribution? (Select all that apply.) Yes. n>5 and nq<5 Yes. n<5 and nq<5
No, it is not appropriate to use a normal distribution to approximate the distribution. Yes. np>5
and nq>5 Yes. n<5 and nq<5 (b) Find a 90% confidence interval for the population proportion of
successes p. (Round your answers to three decimal places.) lower limit upper limit (c) Explain
the meaning of the confidence interval you computed. There is a 20% chance that the interval is
one of the intervals containing the true proportion. There is a 90% chance that the interval is one
of the intervals containing the true proportion. The probability that this interval contains the true
proportion is 0.20 . The probability that this interval contains the true proportion is 0.80 .