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Out of 1128 adults, 87% said they have a cell phone.

It is claimed that less than 95% of adults have a cell phone.

Corresponding to the given claim, the following hypotheses are set up:

Null hypothesis: The proportion of adults who have a cell phone is equal to 0.95.

$H_0:p=0.95$

Alternative hypothesis: The proportion of adults who have a cell phone is less than 0.95.

$H_1:p<0.95$

Since the claim involves testing the equality of the sample proportion with a hypothesized value, the test statistic used will be the z-score.

The value of the sample proportion is computed below:

$$\begin{gathered} \hat{p}=87\% \\ =\frac{87}{100} \\ =0.87 \end{gathered}$$

The given value of the proportion ofadults who have cell phones is supposed to be equal to 0.95.

Thus, p=0.95.

$$\begin{gathered} q=1-p \\ =1-0.95 \\ =0.05 \end{gathered}$$

The value of the test statistic is computed below:

$$\begin{gathered} z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}} \\ =\frac{0.87-0.95}{\sqrt{\frac{0.95脳0.05}{1128}}} \\ =-12.33 \end{gathered}$$

Thus, the test statistic is equal to -12.33.