(d) Explain why the point estimate found in part (c) is a statistic. Explain why it is a random variable. What is the source of variability in the random variable? Why is the point estimate found in part (c) a statistic? O A. Its value may change depending on the individuals in the survey. B. The sample size is large. O C. Its value is based on a sample. O D. It is information obtained from a survey. O E. It is being used to make inferences. Why is the point estimate found in part (c) a random variable? A. The sample size is large. B. It is information obtained from a survey. C. It is being used to make inferences. D. Its value is based on a sample. O E. Its value may change depending on the individuals in the survey. What is the source of variability in the random variable? O A. The sample size B. The question asked in the survey OC. The individuals selected to be in the study O D. Random errors (e) Construct and interpret a 95% confidence interval for the population proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) O A. There is a % probability the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between and O B. We are % confident the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between and (f) What ensures that the results of this study are representative of all adults 19 years of age or older? O A. Random sampling O B. The high confidence level O C. The large sample size O D. Sampling from adults 19 years of age or older

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a survey conducted by a reputable marketing agency, 279 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the
bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
.....
O D. The population is the
adults 19 years of age or older.
(Type a whole number.)
(b) What is the variable of interest in this study? Is it qualitative or quantitative?
The variable of interest is
This variable is
because
(c) Based on the results of this survey, obtain a point estimate for the proportion of adults 19 years of age or older who bring their cell phone every trip to the
bathroom.
%3D
(Round to three decimal places as needed.)
(d) Explain why the point estimate found in part (c) is a statistic. Explain why it is a random variable. What is the source of variability in the random variable?
Why is the point estimate found in part (c) a statistic?
A. Its value may change depending on the individuals in the survey.
B. The sample size is large.
C. Its value is based on a sample.
D. It is information obtained from a survey.
O E. It is being used to make inferences.
Why is the point estimate found in part (c) a random variable?
A. The sample size is large.
B. It is information obtained from a survey.
C. It is being used to make inferences.
D. Its value is based on a sample.
E. Its value may change depending on the individuals in the survey.
What is the source of variability in the random variable?
A. The sample size
B. The question asked in the survey
C. The individuals selected to be in the study
D. Random errors
(e) Construct and interpret a 95% confidence interval for the population proportion of adults 19 years of age or older who bring their cell phone every trip to the
bathroom. Select the correct choice below and fill in any answer boxes within your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A. There is a
% probability the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between
and
B. We are
% confident the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between
and
(f) What ensures that the results of this study are representative of all adults 19 years of age or older?
A. Random sampling
B. The high confidence level
C. The large sample size
D. Sampling from adults 19 years of age or older
O O
Transcribed Image Text:In a survey conducted by a reputable marketing agency, 279 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... O D. The population is the adults 19 years of age or older. (Type a whole number.) (b) What is the variable of interest in this study? Is it qualitative or quantitative? The variable of interest is This variable is because (c) Based on the results of this survey, obtain a point estimate for the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom. %3D (Round to three decimal places as needed.) (d) Explain why the point estimate found in part (c) is a statistic. Explain why it is a random variable. What is the source of variability in the random variable? Why is the point estimate found in part (c) a statistic? A. Its value may change depending on the individuals in the survey. B. The sample size is large. C. Its value is based on a sample. D. It is information obtained from a survey. O E. It is being used to make inferences. Why is the point estimate found in part (c) a random variable? A. The sample size is large. B. It is information obtained from a survey. C. It is being used to make inferences. D. Its value is based on a sample. E. Its value may change depending on the individuals in the survey. What is the source of variability in the random variable? A. The sample size B. The question asked in the survey C. The individuals selected to be in the study D. Random errors (e) Construct and interpret a 95% confidence interval for the population proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. There is a % probability the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between and B. We are % confident the proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom is between and (f) What ensures that the results of this study are representative of all adults 19 years of age or older? A. Random sampling B. The high confidence level C. The large sample size D. Sampling from adults 19 years of age or older O O
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