Question

Chase believes a particular coin is coming up tails more than 50% of the time. He would like to test the claim p > 0.5. To perform this test, he flips the coin 200 times. Out of those 200 flips, he observes less than half of the flips ended up tails.

What do we know about the p-value for this situation?

• The p-value will be larger than any reasonable significance level.
• The p-value will be exactly 0.
• The p-value will be exactly 1.
• We need more information. The p-value could be large or small.
• The p-value will be smaller than most reasonable significance levels.
• The p-value will be larger than 1.
• The p-value will be negative.

Explain how you know this about the p-value.

Answer 1

As we are testing the alternate hypothesis that: p > 0.5, and the sample proportion is less than 0.5, therefore the test statistic value would be negative, which would give a p-value P(Z > Z^*) greater than 0.5, which would be greater than any significance level which are generally 0.05, or 0.1

Therefore the p-value is larger than any reasonable significance level.

And we cannot reject the null hypothesis and we dont have sufficient evidence to support the claim that p > 0.5.