Mrs. Miller claims that 10% of the marbles in the jar are purple. Do the students have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%? Use the sampling distribution to help answer the question.
Answer
A
No, = 0.22 or greater occurred in 8% of samples in the simulation. Because this is greater than 5%, they do not have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%.
B
No, = 0.22 or greater only occurred in 1% of samples in the simulation. Because this is not greater than 5%, they do not have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%.
C
Yes, = 0.22 or greater only occurred in 1% of samples in the simulation. Because this is less than 5%, they have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%.
D
Yes, = 0.22 or greater occurred in 8% of samples in the simulation. Because this is less than 5%, they have statistically significant evidence that the true proportion of purple marbles in the jar is greater than 10%.