A student wants to determine if pennies are really fair when flipped, meaning equally likely to land heads up or tails up. He flips a random sample of 50 pennies and finds that 28 of them land heads up. If p denotes the true probability of a penny landing heads up when flipped, what are the appropriate null and alternative hypotheses? A)H₀: p ≥ 0.5, H_a: p

Question

A student wants to determine if pennies are really fair when flipped, meaning equally likely to land heads up or tails up. He flips a random sample of 50 pennies and finds that 28 of them land heads up. If p denotes the true probability of a penny landing heads up when flipped, what are the appropriate null and alternative hypotheses? A)H₀: p ≥ 0.5, H_a: p < 0.5. B)H₀: p ≤ 0.5, H_a: p ≠ 0.5. C)H₀: p = 0.5, H_a: p ≠ 0.5. D)H₀: p ≥ 28, H_a: p < 28.

Quizplus · Accepted Answer

The null hypothesis (H0) should state that there is no difference from what is expected, which in this case is a fair coin (p = 0.5). The alternative hypothesis (Ha) should state that there is a difference from what is expected (p ≠ 0.5), indicating the coin might not be fair.

A Student Wants to Determine If Pennies Are Really Fair