Chapter 11.1, Problem 10E

To determine

To find whether the range for percents $19\%-23\%$ would cause you to question the model.

Answer to Problem 10E

Yes.

Explanation of Solution

Given:

The Pew Research Center recently conducted a survey of a random sample of $200$ teens and concluded that $43\%$ of all teens who take their cell phones to school text in class on a daily basis.

Here the sample size is $2500$

Calculation:

For the sample size of $200$ , the range of $19\%-23\%$ seems to be correct but if the sample size is increased to $2500$ , the range of $19\%-23\%$ doesn’t seem to be correct. There can be more variation in the range as the sample size is too large. Although the given range may be possible but it will cause to question the model as the data can come from some biased source rather than being experimental.