SOLUTION: When a coin is fair it can be shown that the number of heads h that appears when you flip the coin 100 times is given by the inequality: abs(h-50/5)<1.645 A. Find the range o

Algebra ->  Absolute-value -> SOLUTION: When a coin is fair it can be shown that the number of heads h that appears when you flip the coin 100 times is given by the inequality: abs(h-50/5)<1.645 A. Find the range o      Log On


   

Question 563550: When a coin is fair it can be shown that the number of heads h that appears when you flip the coin 100 times is given by the inequality:
abs(h-50/5)<1.645
A. Find the range of heads that is expected.
B. If you flipped a coin 100 times and obtained 40 heads, is the coin fair? Explain.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
implies

Multiply by 5





Range is approximately 42 < h < 58.

B: Since 40 lies out of the range, it is very unlikely that 40/100 heads would have occurred by chance. Therefore you have reason to reject the hypothesis that the coin is not fair (with ~90% confidence).