In: Statistics and Probability
Researchers observed a random sample of drivers and recorded data about their phone usage while driving. The researchers saw 160 of the 800 women using phones, while 300 of the 1200 men were seen using phones. The researchers want to test at the 0.05 level of significance if these results suggest a significant difference between the proportions of men and women that use their phones while driving. Assume that all requirements have been met. Give the null and alternative hypotheses. Find the p-value. Make an initial conclusion based on a mathematical comparison. Then write a formal sentence stating your conclusion in context.