US traffic police often use radar to catch drivers speeding. To alert them to the presence of police radar, some drivers mount radar detectors in their cars. This has led to a debate: Are radar detectors a useful reminder to stay within the speed limit, or are they simply a way of avoiding police detection?
How can we set this question up as a hypothesis test? What is \( H_0 \)? What is \( H_A \)?
How can we use this data to help us answer the question?
How is this different when using a t vs z setup?
What sample size would be needed to have a ME of 0.5 mph? (Keeping a 95% CI)
Before the drug trial, the average length of time before a child in the population got malaria was 89 days with standard deviation 41 days. During the experiment, 724 children were treated with the drug and their average length of time until infection of was 97.5 days.
How can we frame our hypothesis tests?
This can be framed as whether the change from 89 to 97.5 days is a statistically significant change at the \( \alpha=0.05 \) level.