The proportion of all US adults who eat popcorn when they go to the movie theater is p = 0.87. A random sample of 20 US adults was selected and asked if they eat popcorn when they go to the movie theater. Which of the
following is the shape of the sampling distribution of ?
The sampling distribution of is approximately Normal because np = 17.4 > 10.
Because n(1-p) = 2001 - 0.87) = 2.6 < 10, the sampling distribution of Ô is not approximately Normal. The
sampling distribution of is skewed right and centered at 0.87.
Because n(1-P) = 2001 - 0.87) = 2.6 < 10, the sampling distribution of is not approximately Normal. Because p
= 0.87 is closer to 1 than 0, the sampling distribution of Ô is skewed to the left.
Because n(1-P) 20(1-0.87) = 2.6 < 10, the sampling distribution of Ô is not approximately Normal. Because p
= 0.87 is closer to 1 than 0, the sampling distribution of is skewed to the right.