A2.33
Use data from a randomized experiment to compare two treatments; limit to informal use of simulations to decide if an observed difference in the responses of the two treatment groups is unlikely to have occurred due to randomization alone, thus implying that the difference between the treatment groups is meaningful.
Example Problems
A restaurant states that no more than 10% of its takeout orders are prepared incorrectly. A food blogger thinks the true error rate is higher. They sample recent orders to investigate.
Let represent the proportion of incorrect takeout orders.
State the null hypothesis, , for this test.
Let represent the proportion of incorrect takeout orders.
State the null hypothesis, , for this test.
A tech company advertises that the average time it takes for a new laptop to fully start up is 20 minutes. An independent lab believes it starts up faster on average. They sample users to test the claim.
Let represent the mean startup time.
State the alternative hypothesis, , for this test.
Let represent the mean startup time.
State the alternative hypothesis, , for this test.
An airline reports an on-time arrival rate of 88% for a particular route. A transportation watchdog suspects the true on-time rate is lower. They obtain a random sample of flights.
Let represent the proportion of flights that arrive on time.
State the null hypothesis, , for this test.
Let represent the proportion of flights that arrive on time.
State the null hypothesis, , for this test.
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