In 2008 polls indicated that 54% of Americans thought that the death penalty was applied fairly in the U. S. This year in a poll of 1,000 Americans 58% feel the death penalty is applied fairly in the U. S. Has the percentage of the public with this opinion increased since 2008? We test the following hypotheses.

LaTeX: H_0H 0: The proportion of Americans this year who feel the death penalty is applied fairly in the U. S. is 0.54.

LaTeX: H_aH a: The proportion of Americans this year who feel the death penalty is applied fairly in the U. S. is greater than 0.54.

The P-value is 0.036. The next three questions present three different interpretations of this P-value. Indicate if each interpretation is valid or invalid.

1.The probability that more than 54% of Americans now feel the death penalty is applied fairly is 0.036.
Group of answer choices

a. valid

b. invalid

2.If 54% of Americans still feel the death penalty is applied fairly, then there is a 3.6% chance that poll results will show 58% or more with this opinion.
Group of answer choices

a. valid

b. invalid

3There is a 3.6% chance that the null hypothesis is true if random poll results are greater than 54%.
Group of answer choices

a. valid

b. invalid