In a survey conducted by a reputable marketing agency, 277 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.
The variable of interest is bringing one's cell phone every trip to the bathroom. This variable is qualitative with two outcomes because individuals are classified based on a characteristic.
(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.
p = 0.277
(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?
Its value is based on a sample.
Why is the point estimate found in part (c) a random variable?
Its value may change depending on the individuals in the survey.
What is the source of variability in the random variable?
The individuals selected to be in the study
(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.)
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 .