Question

A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls.Set up the hypotheses in order to determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%.

Answer 1

To determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%, we need to set up the hypotheses and conduct a hypothesis test using the sample data.

Step-by-step explanation:

To determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%, we need to set up the hypotheses. Let's assume that the proportion of Americans who use only cell phones is p.

Null Hypothesis (H0): p = 0.23

Alternative Hypothesis (Ha): p ≠ 0.23

Next, we can use the sample data to conduct a hypothesis test, such as a z-test or a chi-squared test, to determine the statistical significance of the difference between the sample proportion and the hypothesized population proportion.