Information In baseball, it’s widely believed that left-handed pitchers have an
ID: 3246455 • Letter: I
Question
Information
In baseball, it’s widely believed that left-handed pitchers have an advantage over their right-handed counterparts. About 15% of the general population is left handed, and researchers believe that the proportion of lefties is higher in the population of all current MLB pitchers. In a survey of 165 major league pitchers, 42 are left-handed.
Using the One Proportion applet, simulate at least 5000 sample proportions assuming the null hypothesis is true and plot the number of successes. Describe what a single dot represents in the null distribution you made with the applet.
Explanation / Answer
Taking the below assumption
About 15% of the general population is left handed,
Probability of success ():0.15
Sample size (n):5000
Number of samples:1
Using the One Proportion applet,
Taking Normal Approximation:
Mean: 716 (X axis-No of Success)
Mean:0.143 ( X axis-Proportion of success)
Taking the below assumption
In a survey of 165 major league pitchers, 42 are left-handed.
About [(42/165=0.25) == 25%] of the general population is left handed,
Probability of success ():0.25
Sample size (n):5000
Number of samples:1
Using the One Proportion applet,
Taking Normal Approximation:
Mean:1184 (X axis-No of Success)
Mean:0.237 ( X axis-Proportion of success)
Single dot represents Mean.