Question
In: Math
In a random sample of 88 ears of corn, farmer Carl finds that 9 of them...
In a random sample of 88 ears of corn, farmer Carl finds that 9 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 table or, if using software, round to 2 decimal places. zα/2 =
(c) What is the margin of error (E) for a 99% confidence interval? Round your answer to 3 decimal places. E =
(d) Construct the 99% 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 99% confident that less than 22% of Carl's corn has worms?
No, because 0.22 is above the upper limit of the confidence interval.
Yes, because 0.22 is below the upper limit of the confidence interval.
Yes, because 0.22 is above the upper limit of the confidence interval.
No, because 0.22 is below the upper limit of the confidence interval. Additional Materials
Solutions
milcah answered 2 months agoRelated Solutions
In a random sample of 84 ears of corn, farmer Carl finds that 9 of them...
In a random sample of 84 ears of corn, farmer Carl finds that 9
of them have worms. He wants to find the 99% confidence interval
for the proportion of all his corn that has worms.
(c) What is the margin of error (E) for a 99% confidence
interval?
E =
(d) Construct the 99% confidence interval for the proportion of all
of Carl's corn that has worms.
___ < p < ____
(e) Based on your answer to part...
Corn: In a random sample of 120 ears of corn, farmer Carl finds that 10 of...
Corn: In a random sample of 120 ears of corn, farmer Carl
finds that 10 of them have worms. Carl claims that less than 15% 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.
zp hat =
(c) What is the P-value of...
Corn: In a random sample of 120 ears of corn, farmer Carl finds that 18 of...
Corn: In a random sample of 120 ears of corn,
farmer Carl finds that 18 of them have worms. Carl claims that less
than 20% of all his corn has worms. Test this claim at the 0.05
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...
A random sample of 350 voters from Delaware finds that 105 of them intend to vote...
A random sample of 350 voters from Delaware finds that 105 of
them intend to vote for Bill McNeely in an upcoming election for
Governor. Construct a 96% confidence interval for the population
proportion of voters who intend to vote for Bill McNeely. Enter the
lower and upper bounds for the interval in the following boxes,
respectively. You may answer using decimals rounded to four places
or a percentage rounded to two. Make sure to use a percent sign if...
A random sample of 150 men found that 88 of the men exercise regularly, while a...
A random sample of 150 men found that 88 of the men exercise
regularly, while a random sample of 200 women found that 130 of the
women exercise regularly.
a. Based on the results, construct and interpret a 95%
confidence interval for the difference in the proportions of women
and men who exercise regularly.
b. A friend says that she believes that a higher proportion of
women than men exercise regularly. Does your confidence interval
support this conclusion? Explain.
A farmer focusing on the production of eco-friendly chicken eggs collects the following data about his output. In a sample of 50 eggs, the farmer finds the average
1. Chicken Eggs- from module 5 slides A farmer focusing on the production of eco-friendly chicken eggs collects the following data about his output. In a sample of 50 eggs, the farmer finds the average egg to weigh 47 grams. The standard deviation of the egg weight is 2 grams and the distribution of weights resembles a normal distribution reasonably closely. The farmer can sell the eggs to a local distributor. However, they have to be in the interval between 44 grams and...
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these
students take a mean of 14.3 credit hours per quarter with a
standard deviation of 1.5 credit hours. Estimate the mean credit
hours taken by a student each quarter using a 98% confidence
interval.
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these
students take a mean of 15.7 credit hours per quarter with a
standard deviation of 1.5 credit hours. Estimate the mean credit
hours taken by a student each quarter using a 98% confidence
interval.
A random sample of 152 recent donations at a certain blood bank reveals that 88 were...
A random sample of 152 recent donations at a certain blood bank
reveals that 88 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
H0: p = 0.40
Ha: p > 0.40
H0: p = 0.40
Ha: p ≠ 0.40
H0:...
A random sample of 158 recent donations at a certain blood bank reveals that 88 were...
A random sample of 158 recent donations at a certain blood bank
reveals that 88 were type A blood. Does this suggest that the
actual percentage of type A donations differs from 40%, the
percentage of the population having type A blood? Carry out a test
of the appropriate hypotheses using a significance level of
0.01.
State the appropriate null and alternative hypotheses.
what is the z value?
What is the p-value
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