Question

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.

Case studies showed that out of 10,579 convicts who escaped from
certain prisons, only 7911 were recaptured.

(a) Let *p* represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for *p*. (Round your answer to four decimal places.)

(b) Find a 99% confidence interval for *p*. (Round your
answers to three decimal places.)

lower limit | |

upper limit |

Give a brief statement of the meaning of the confidence
interval.

99% of all confidence intervals would include the true proportion of recaptured escaped convicts.1% of the confidence intervals created using this method would include the true proportion of recaptured escaped convicts. 1% of all confidence intervals would include the true proportion of recaptured escaped convicts.99% of the confidence intervals created using this method would include the true proportion of recaptured escaped convicts.

(c) Is use of the normal approximation to the binomial justified in
this problem? Explain.

No; *np* < 5 and *nq* > 5.No; *np*
> 5 and *nq* < 5. Yes;
*np* > 5 and *nq* > 5.Yes; *np* < 5
and *nq* < 5.

Answer #1

For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to rounding.
Case studies showed that out of 10,630 convicts who escaped from
certain prisons, only 7629 were recaptured. (a) Let p represent the
proportion of all escaped convicts who will eventually be
recaptured. Find a point estimate for p. (Round your answer to four
decimal places.) (b) Find a 99% confidence interval for p. (Round
your answers to three decimal...

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in your calculations. Answers may vary slightly due to
rounding.
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certain prisons, only 7441 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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in your calculations. Answers may vary slightly due to
rounding.
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(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
____________
(b) Find a 99% confidence interval for p. (Round your
answers to three...

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in your calculations. Answers may vary slightly due to
rounding.
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certain prisons, only 7394 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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in your calculations. Answers may vary slightly due to rounding.
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certain prisons, only 8005 were recaptured. (a) Let p represent the
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recaptured. Find a point estimate for p. (Round your answer to four
decimal places.) (b) Find a 99% confidence interval for p. (Round
your answers to three decimal...

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in your calculations. Answers may vary slightly due to
rounding.
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certain prisons, only 8146 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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in your calculations. Answers may vary slightly due to
rounding.
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certain prisons, only 7535 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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your calculations. Answers may vary slightly due to rounding.
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certain prisons, only 7676 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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in your calculations. Answers may vary slightly due to rounding.
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(a) Let p represent the proportion of all escaped convicts who
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your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your answers to
three decimal...

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in your calculations. Answers may vary slightly due to
rounding.
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certain prisons, only 8005 were recaptured.
(a) Let p represent the proportion of all escaped
convicts who will eventually be recaptured. Find a point estimate
for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your
answers to three decimal...

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