Question

**Corn: USE SOFTWARE** In a random sample of 88
ears of corn, farmer Carl finds that 15 of them have worms. He
wants to find the 95% confidence interval for the proportion of all
his corn that has worms.

(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? **Round your answer to 3 decimal
places.**

(b) What is the critical value of *z* (denoted
*z*_{α/2}) for a 95% confidence interval?
**Use the value from the table or, if using software, round
to 2 decimal places.**

*z*_{α/2} =

(c) What is the margin of error (*E*) for a 95% confidence
interval? **Round your answer to 3 decimal
places.**

*E* =

(d) Construct the 95% confidence interval for the proportion of all
of Carl's corn that has worms. **Round your answers to 3
decimal places.**

< *p* <

(e) Based on your answer to part (d), are you 95% confident that
less than 28% of Carl's corn has worms?

Yes, because 0.28 is below the upper limit of the confidence interval.

No, because 0.28 is below the upper limit of the confidence interval.

No, because 0.28 is above the upper limit of the confidence interval.

Yes, because 0.28 is above the upper limit of the confidence interval.

Answer #1

Corn: In a random sample of 88 ears of corn,
farmer Carl finds that 15 of them have worms. He wants to find the
99%confidence interval for the proportion of all his corn that has
worms.
(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? Round your answer to 3 decimal
places.
(b) What is the critical value of z (denoted
zα/2) for a 99% confidence interval?
Use the value from the...

Corn: In a random sample of 88 ears of corn, farmer Carl finds
that 14 of them have worms. He wants to find the 99% confidence
interval for the proportion of all his corn that has worms.
(a) What is the point estimate for the proportion of all of Carl's
corn that has worms? Round your answer to 3 decimal places.
(b) What is the critical value of z (denoted zα/2) for a 99%
confidence interval? Use the value...

Corn: In a random sample of 92 ears of corn, farmer Carl finds
that 14 of them have worms. He wants to find the 95% confidence
interval for the proportion of all his corn that has worms.
(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? Round your answer to 3 decimal
places.
(b) What is the critical value of z (denoted zα/2) for a 95%
confidence interval? Use the value from...

Corn: In a random sample of 92 ears of corn, farmer Carl finds
that 14 of them have worms. He wants to find the 95% confidence
interval for the proportion of all his corn that has worms.
(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? Round your answer to 3 decimal
places.
(b) What is the critical value of z (denoted zα/2) for a 95%
confidence interval? Use the value...

Corn: In a random sample of 84 ears of corn, farmer Carl finds
that 7 of them have worms. He wants to find the 90% confidence
interval for the proportion of all his corn that has worms.
(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? Round your answer to 3 decimal places.
____
(b) What is the critical value of z (denoted zα/2) for a 90%
confidence interval? Use the value...

In a random sample of 88 ears of corn, farmer Carl finds that 14
of them have worms. He wants to find the 90% confidence interval
for the proportion of all his corn that has worms. (a) What is the
point estimate for the proportion of all of Carl's corn that has
worms? Round your answer to 3 decimal places. (b) Construct the 90%
confidence interval for the proportion of all of Carl's corn that
has worms. Round your answers...

Corn: In a random sample of 92 ears of corn,
farmer Carl finds that 16 of them have worms. He wants to find the
90% confidence interval for the proportion of all his corn that has
worms.
(a) What is the point estimate for the proportion of all of
Carl's corn that has worms? Round your answer to 3 decimal
places.
(b) Construct the 90% confidence interval for the proportion of all
of Carl's corn that has worms. Round your...

Corn: In a random sample of 80 ears of corn,
farmer Carl finds that 7 of them have worms. Carl claims that less
than 20% of all his corn has worms. Test this claim at the 0.01
significance level.
(a) What is the sample proportion of corn with worms?
Round your answer to 3 decimal places.
p̂ =
(b) What is the test statistic? Round your answer to 2
decimal places.
z =
(c) What is the P-value of the...

Corn: In a prior sample of corn, farmer Carl
finds that 12% of the sample has worms but the margin of error for
his population estimate was too large. He wants an estimate that is
in error by no more than 2.5 percentage points at the 95%
confidence level. Enter your answers as whole
numbers.
(a) What is the minimum sample size required to obtain this type
of accuracy? Use his prior sample proportion in your
calculation.
The minimum sample...

In a random sample of 830 adults in the U.S.A., it was found
that 84 of those had a pinworm infestation. You want to find the
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pinworm.
(a) What is the point estimate for the proportion of all U.S.
adults with pinworm? Round your answer to 3 decimal
places.
(b) What is the critical value of z (denoted
zα/2) for a 95% confidence interval?
Use the value from the...

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