Math 227 - Statistics » Spring 2023 » 13KC Estimating a Population Proportion & a Population Mean

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Question #1
The Pew Research Center conducted a survey of 897 adults and found that 76% of them are aware of Instagram. Construct a 93% confidence interval estimate of the proportion of adults who are aware of Instagram. What is the lower bound of the confidence interval? (Express your answer as a decimal rounded to the nearest thousandth.)
A.   0.774
B.   0.697
C.   0.734
D.   0.731
Question #2
The Pew Research Center wishes to estimate the proportion of adults who are aware of Instagram. Assume that a recent Instagram publication indicates that 69% of adults are aware of Instagram. How many adults must the marketing firm randomly survey if they want to be 90% confident that the proportion of adults who are aware of Instagram is within 2% of the true proportion of adults who are aware of Instagram?
A.   1,401
B.   1,447
C.   1,245
D.   1,397
Question #3
The Pew Research Center wishes to estimate the proportion of adults who are aware of Instagram. How many adults must the marketing firm randomly survey if they want to be 96% confident that the proportion of adults who are aware of Instagram is within 3% of the true proportion of adults who are aware of Instagram?
A.   1,148
B.   1,188
C.   1,172
D.   1,712
Question #4
The mean age of a sample of 40 college students is 23.95 with a standard deviation of 2.55. Assume that prior studies indicate that the standard deviation of college students ages is 2.04. Construct a 99% confidence interval estimate of the mean age of all college students. What is the upper bound of the confidence interval? (Round to the nearest thousandth.)
A.   24.118
B.   24.781
C.   23.987
D.   24.917
Question #5
STATDISK has the ability to construct a confidence interval estimate for the proportion. The next question is designed to introduce you to this functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video. A sample of 439 items resulted in 247 successes. Construct a 92.72% confidence interval estimate for the population proportion. Enter the upper bound of the confidence interval. (Express your answer as a percentage rounded to the nearest hundredth without the % sign.)
A.   60.51
B.   61.15
C.   60.15
D.   59.56
Question #6
STATDISK has the ability to find the sample size required to estimate a population proportion. The next questions are designed to introduce you to these functions within STATDISK. The sample size determination function is located under the "analysis," "sample size determination," and "estimate proportion" sub menu. Determine the sample size necessary to estimate the population proportion with a 92.08% confidence level and a 1.57% margin of error. Assume that a prior estimate of the population proportion was 49%.
A.   3,124
B.   2,354
C.   3,334
D.   2,919
Question #7
Determine the sample size necessary to estimate the population proportion with a 99.62% confidence level and a 3% margin of error.
A.   2,327
B.   2,813
C.   2,282
D.   2,293
Question #8
STATDISK has the ability to construct a confidence interval estimate for the mean. The next question is designed to introduce you to this functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video. A sample of 90 items resulted in sample mean of 11.6 and a sample standard deviations of 10.4. Assume that the population standard deviation is known to be 5.6. Construct a 91.57% confidence interval estimate for the population mean. Enter the lower bound of the confidence interval. (Round to the nearest thousandth.)
A.   11.623
B.   10.629
C.   10.581
D.   10.115
Question #9
Enter the following sample data into column 1 of STATDISK: -3, -5, -3, 7, -9, -2, -6 Assume that the population standard deviation is known to be 1.55. Construct a 93.62% confidence interval estimate for the population mean. Enter the upper bound of the confidence interval. (Round to the nearest hundredth.)
A.   -1.19
B.   -1.88
C.   -1.91
D.   -1.27

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