Q:

In April and May of 2011, the Pew Research Center surveyed cell phone users about voice calls and text messaging. They surveyed a random sample of 1914 cell phone users. 75% of the sample use text messaging.The 95% confidence interval is (73.1%, 76.9%). Which of the following is an appropriate interpretation of the 95% confidence interval? A. There is a 95% probability that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.B. We can be 95% confident that the proportion of the sample who use text messaging is between 73.1% and 76.9%.C. 95% of samples will have between 73.1% and 76.9% of respondents who use text messaging.D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.

Accepted Solution

A:
Answer:D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.Step-by-step explanation:The interpretation of a confidence interval of level x% means that we are x% sure that the interval contains the true mean of the population.In this problem, we have that:The population are all the cell phone users.The 95% confidence interval is (73.1%, 76.9%).Which of the following is an appropriate interpretation of the 95% confidence interval?D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.