Every year on Groundhog Day (February 2), the famous groundhog Punxsutawney Phil tries to predict whether there will be 6 more weeks of winter.
Suppose that you plan to take a random sample of 23 years and use weather data to determine the proportion of these years the groundhog's prediction was correct.

If the groundhog has a 50-50 chance of making a correct prediction, the spread of the sampling distribution of for samples of size 23 is:

A) = 0.1474
B) = 0.1043
C) = 0.2085
D) = 0.0435
E) = 0.0870

Question

Every year on Groundhog Day (February 2), the famous groundhog Punxsutawney Phil tries to predict whether there will be 6 more weeks of winter. ​
Suppose that you plan to take a random sample of 23 years and use weather data to determine the proportion of these years the groundhog's prediction was correct.
​
If the groundhog has a 50-50 chance of making a correct prediction, the spread of the sampling distribution of  for samples of size 23 is:
​
A) = 0.1474 
B) = 0.1043 
C) = 0.2085 
D) = 0.0435 
E) = 0.0870

Quizplus · Accepted Answer

The Answer of Every year on Groundhog Day (February 2), the famous groundhog Punxsutawney Phil tries to predict whether there will be 6 more weeks of winter. ​
Suppose that you plan to take a random sample of 23 years and use weather data to determine the proportion of these years the groundhog's prediction was correct.
​
If the groundhog has a 50-50 chance of making a correct prediction, the spread of the sampling distribution of  for samples of size 23 is:
​
A) = 0.1474 
B) = 0.1043 
C) = 0.2085 
D) = 0.0435 
E) = 0.0870

Every Year on Groundhog Day (February 2), the Famous Groundhog