Question

We wish to test $LaTeX: H_0\colon p=0.5$ H 0 : p = 0.5 vs $LaTeX: H_a \colon p>0.5$ H a : p > 0.5 where p is the probability of getting a head when a particular coin is flipped. We flip the coin 1000 times and observe 412 heads. Without doing any calculations, the p-value and test conclusion are most likely

Group of answer choices

Close to 0 so we fail to reject the null hypothesis.

Close to 0 so we reject the null hypothesis.

Close to 1 so we fail to reject the null hypothesis.

Close to 1 so we reject the null hypothesis.

Answer 1

0.412 is less than 0.5 whereas our test is a right tailed test. Hence,

p - value will be close to 1 so we fail to reject the null hypothesis.

Option C is correct.