In: Statistics and Probability
In 2014, 52 of 200 car accident were caused by cell phones. Similar numbers in 2018 were 75 out of 300. Assuming that the samples are randomly and independently selected.
a) Conduct a test of hypothesis to determine if there is evidence to indicate that the cell phone related car accidents rate was decreased in 2018. (State the hypotheses)
b) Find the 99% confidence interval for the difference of the two proportions. Does the confidence interval contain 0?
c) Calculate the point estimate of the parameter of interest under the null hypothesis. Student’s name:
d) Calculate the test statistic, show the rejection region, and make the decision accordingly. (α = 0.01)