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Connect Four
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A
Your Question Here
1. In a Pew Research Center poll of 745 randomly
selected adults, 589 said that it is morally wrong to not
report all income on tax returns. Where p is the actual
proportion of adults who say that it is morally wrong to
not
. report all income on tax returns.
a) Determine the value of
p̂
Your Question Here
1. In a Pew Research Center poll of 745 randomly selected adults,
589 said that it is morally wrong to not report all income on tax
returns. Where p is the actual proportion of adults who say that it
is morally wrong to not report all income on tax returns.
b) Determine the standard error.
Your Question Here
1. In a Pew Research Center poll of 745 randomly selected adults,
589 said that it is morally wrong to not report all income on tax
returns. Where p is the actual proportion of adults who say that
it is morally wrong to not report all income on tax returns.
c) Determine the margin of error for a 95% confidence level.
Your Question Here
1. In a Pew Research Center poll of 745 randomly selected adults,
589 said that it is morally wrong to not report all income on tax
returns. Where p is the actual proportion of adults who say that
it is morally wrong to not report all income on tax returns.
d) Without following the four-step process, construct the 95%
confidence interval for the population proportion, p.
Your Question Here
1. In a Pew Research Center poll of 745 randomly selected adults, 589
said that it is morally wrong to not report all income on tax returns.
Where p is the actual proportion of adults who say that it is morally
wrong to not report all income on tax returns.
e) Assume that you must conduct a new poll to determine the
percentage of adults who believe that it is morally wrong to not report
all income on tax returns. How many randomly selected adults must
you survey if you want 99% confidence that the margin of error is no
more than two percentage points? P-hat is unknown.
Your Question Here
2. A simple random sample of 37 weights of pennies made after 1983
has a mean of 2.494 g and a standard deviation of 0.16 g. Where  is
the actual mean weight of all pennies made after 1983.
a) Determine the standard error of the mean.
Your Question Here
2. A simple random sample of 37 weights of pennies made after 1983
has a mean of 2.494 g and a standard deviation of 0.16 g. Where  is
the actual mean weight of all pennies made after 1983.
b) Determine the margin of error for a 90% confidence level.
Your Question Here
2. A simple random sample of 37 weights of pennies made after 1983
has a mean of 2.494 g and a standard deviation of 0.16 g. Where  is
the actual mean weight of all pennies made after 1983.
c) Without following the four-step process, construct the 90%
confidence interval for the population mean µ
Your Question Here
4. A Gallup poll consisted of 1012 randomly selected adults who
were asked whether “cloning of humans should or should not be
allowed.” Results showed that 901 adults surveyed indicated that
cloning should not be allowed. Find the best point estimate of the
proportion of adults believing that cloning of humans should not be
allowed.
Your Question Here
7. Assume that a sample is used to estimate a population proportion p. Find
the margin of error, E, that corresponds to the given statistics and confidence
level. 90% confidence, sample size is 400, of which 42% are successes.
Your Question Here
10. Use the given data to find the minimum sample size required to
estimate the population proportion. Margin of error: 0.04; confidence
level: 96%; from a prior study, p-hat is estimated by 0.17.
Your Question Here
1. A random sample of 900 individuals has been selected from a large
population. It was found that 180 are regular users of vitamins. Thus,
the proportion of the regular users of vitamins in the population is
estimated to be 0.20. The standard error of this estimate is
approximately
Your Question Here
2. A traffic consultant wants to estimate the proportion of cars on a
certain street that have more than two occupants. She stands at the
side of the road for two hours on a weekday afternoon and flips a
coin each time a car approaches. If the coin comes up heads, she
counts the number of occupants in the car. After two hours, she has
counted 103 cars, 15 of which had more than two occupants. Which
condition for constructing a confidence interval for a proportion has
she failed to satisfy?
Your Question Here
3. A polling organization announces that the proportion of American voters who favor
congressional term limits is 64%, with a 95% confidence margin of error of 3%. Which of the
following statements is a correct interpretation of 95% confidence?
a) If the poll were conducted again in the same way, there is a 95% chance that the fraction
of voters favoring term limits in the
second poll would be between 61% and 67%.
b) There is a 95% probability that the true percent of voters favoring term limits is between
61% and 67%.
c) If the poll were conducted again the same way, there is a 95% probability that the percent
of voters favoring term limits in the
second poll would be within 3% of the percent favoring term limits in the first poll.
d) Among 95% of the voters, between 61% and 67% favor term limits.
e) None of the above.
Your Question Here
4. Suppose the poll in the previous question was conducted by email, and those
conducting the survey are concerned about the possibility of undercoverage, since
some people do not use email or have filters that block mass emails. Which of the
following is the best way for them to correct for this source of bias?
a) Throw this sample out and start over again with a better sampling method.
b) Use a higher confidence level, such as 99%.
c) Use a lower confidence level, such as 80%.
d) Use a t-interval instead of a z-interval.
e) Take a larger sample.
Your Question Here
Your Question Here
6. Which of the following has the highest probability?
a) Randomly selecting a value between −2 and 2 from a standard Normal distribution.
b) Randomly selecting a value between −2 and 2 from a t-distribution with 4 degrees of
freedom.
c) Randomly selecting a value between −2 and 2 from a t-distribution with 20 degrees of
freedom.
d) Randomly selecting a value less than −2 or greater than 2 from a standard Normal
distribution.
e) Randomly selecting a value less than −2 or greater than 2 from a t-distribution with 20
degrees of freedom.
Your Question Here
7. A 95% confidence interval for the mean reading achievement score for a population
of third grade students is (44.2, 54.2). Suppose you compute a 99% confidence interval
using the same data. Which of the following statements is correct?
a) The intervals have the same width.
b) The 99% interval is narrower.
c) The 99% interval is wider.
d) The 99% interval could be wider or narrower
e) The answer can’t be determined from the information given.
Your Question Here
8. What is the critical value t* that satisfies the condition that the t distribution
with 8 degrees of freedom has probability 0.10 to the right of t*?
a)
b)
c)
d)
e)
0.90
1.282
1.397
1.415
1.860
Your Question Here
Your Question Here
Your Question Here
Give the four step process required on the AP exam for writing and
interpreting CI’s.
Your Question Here
Name the three conditions you must check before finding a confidence
interval.
Your Question Here
When creating Confidence Intervals, when do you use z* and when do
you use t*?
Your Question Here
What is the formula for standard error of a sample proportion?
Your Question Here
What is the formula for standard error of a sample mean?
Your Question Here
What is the difference between standard error and margin or error?
Your Question Here
When checking the Normal condition for sample proportions, what do you
show?
Your Question Here
When checking the Normal condition for sample means, what do you show if
the sample size is < 30 in order to safely use a t* distribution?
Your Question Here
Increasing the sample size does what to the Confidence Interval?
Your Question Here
Decreasing the confidence level does what to the Confidence
Interval?
Your Question Here
Find the t* critical value for 85% CL and n = 15
Your Question Here
Explain how nonresponse, undercoverage and response bias can affect
the confidence interval
Your Question Here
If you quadruple the sample size, the ME is changed by how much?
Your Question Here
What is the largest state in the United States?
Your Question Here
Who was the famous detective who smoked a pipe and played the violin?
Your Question Here
What did the crocodile swallow in Peter Pan?
Your Question Here
Name the five colors in the Olympic rings?
Your Question Here
Name the first three planets as you move away
from the sun.
Your Question Here
How many curves are in a standard paper clip?
Your Question Here
What is a female sheep called?
Your Question Here
Who invented the telephone?
Notes
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