In: Statistics and Probability
Researchers suspect that myopia, or nearsightedness, is becoming more common over time. A study from the year 2010 showed 123 cases of myopia in 400 randomly selected people. Another study from the year 2019 showed 228 cases in 600 randomly selected people. We are going to do a hypothesis test to see if p1 = the proportion of people who have myopia in 2019 is equal to p2 = proportion of people who have myopia in 2010 at the 0.05 significance level.
Set up the null and alternative hypothesis
Calculate the test statistic.
What is the critical value?
Should we reject or fail to reject the test under 0.05 level?
What is the correct conclusion based on the test?
There is sufficient evidence to support the claim that myopia, or nearsightedness, is becoming more common over time.