Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

In a large class of introductory Statistics students, the professor had each per

ID: 3182268 • Letter: I

Question

In a large class of introductory Statistics students, the professor had each person toss a fair coin numerous times and calculate the proportion of his or her losses that were heads. One of the students in the class claims to have tossed her coin 200 times and found only 43% heads. What do you think claim? This result is 2 standard deviations below the mean of the sampling distribution of the sample proportion. (Round to two decimal places as needed.) Choose the correct answer below. A. The student's claim could be true because the result is unusual, but still has a reasonable probability of occurring. B. The student's claim is probably false because the result is extremely unlikely to occur. C. The student's claim is probably true because the result is very likely to occur.

Explanation / Answer

When the a fair coin is tossed you expect the outcomes to equally divided , that is half of them heads and half them tails....However this is BETTER observable if the number of trails is very large (Way more than 200)

Therefore OPTION A tHE RESULT IS UNUSUAL (since we expect 50% heads), However there is a possibility of this occuring as number of trails is not large enough

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote