In a recent Gallup poll of 511 adults, 64% said that they were in favor of the death penalty for a person convicted of murder. We want to use a 0.01 significance level to test the claim that the majority of adults are in favor of the death penalty for a person convicted of murder.

a. Identify the null and alternative hypotheses.

b. Find the value of the test statistic.

c. Technology is used to find this P-value: 1.263996E−10. Express the P-value in ordinary notation, then determine what we should conclude about the original claim.