b. The null and alternative hypotheses would be: Ho: ?v Select an answer H1: ?v Select an answer c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

b.

Let $\mu$ denotes the population mean number of accidents at controlled intersections per year. The average number of accidents at controlled intersections per year is 5.3. The claim of test is that there is average different number for intersection with cameras installed. The hypothesis is,

Null hypothesis:

$H_0:\mu =5.6$

Alternative hypothesis:

$H_1:\mu \ne 5.6$

The sample size is 59, sample mean is 5.4, sample standard deviation is 1.21.

c.

The test statistic is,

$\begin{array}{rcl}t& =& \frac{\overline{x}-\mu }{\left({\displaystyle \frac{s}{\sqrt{n}}}\right)}\\ & =& \frac{5.4-5.6}{\left({\displaystyle \frac{1.21}{\sqrt{59}}}\right)}\\ & =& \frac{-0.2}{0.1575}\\ & =& -1.270\end{array}$

Thus,  the test statistic is $\mathit{t}\mathbf{=}\mathbf{-}\mathbf{1}\mathbf{.}\mathbf{270}$.