Question

When spinning a penny, Claire believes the proportion of times the penny lands on heads is higher than 0.5. She spins a penny 50 times and it lands on heads 32 times. The P-value for the test of the hypotheses, H 0: p = 0.5, and H alpha: p greater-than 0.5, is 0.02, What is the correct interpretation of this value?

Answer 1

It depends on what the level of significance (alpha) is.

Since alpha is not stated, I'll assume that alpha = 0.05 by default.

Because the p-value is smaller than alpha, we reject the null hypothesis.

Therefore, we conclude that the alternative hypothesis is correct and the proportion of heads is greater than 0.5