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9 January, 09:13

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%.

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  1. 9 January, 11:00
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    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%.
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