A marketing researcher is interested in estimating the proportion of customers who favour/do not favour Cola over other soft drinks.  A random sample of 400 consumers was selected from the market under investigation and showed that 53% favoured Cola over other brands.  Use this information to identify which of the following statements is/are true. Select one or more: The point estimate of the proportion of customers who  favour cola over other soft drinks is 53% The 95% confidence interval for the proportion of customers who do not favour cola over other soft drinks is 0.47 ± 0.0489. The true percentage of customers who do not favour cola over other soft drinks in the population is between 42.11% and 51.89% The true percentage of customers who do not favour cola over other soft drinks in the sample is between 42.11% and 51.89% The 98% confidence interval for the proportion of customers who  do not favour cola over other soft drinks is  0.53±2.330.53×0.47400−−−−−−−√

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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A marketing researcher is interested in estimating the proportion of customers who favour/do not favour Cola over other soft drinks.  A random sample of 400 consumers was selected from the market under investigation and showed that 53% favoured Cola over other brands. 

Use this information to identify which of the following statements is/are true.


Select one or more:
The point estimate of the proportion of customers who  favour cola over other soft drinks is 53%
The 95% confidence interval for the proportion of customers who do not favour cola over other soft drinks is 0.47 ± 0.0489.
The true percentage of customers who do not favour cola over other soft drinks in the population is between 42.11% and 51.89%
The true percentage of customers who do not favour cola over other soft drinks in the sample is between 42.11% and 51.89%
The 98% confidence interval for the proportion of customers who  do not favour cola over other soft drinks is  0.53±2.330.53×0.47400−−−−−−−√

 

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