When Brett Kavanaugh was nominated to be a Supreme Courtjustice, a survey of 1041 Americans showed that 50.5% of them disapproved of Kavanaugh. A newspaper published an article with thisheadline: "Majority of Americans Disapprove ofKavanaugh." Use a 0.05 significance level to test the claim made in that headline. Use theP-value method. Use the normal distribution as an approximation to the binomial distribution.

Let p denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses.

H0: p

H1: p

(Type integers or decimals. Do notround.)

Identify the test statistic.

z=

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=

(Round to three decimal places asneeded.)

State the conclusion about the nullhypothesis, as well as the final conclusion that addresses the original claim.

Accept Reject Fail to reject the null hypothesis. There is not is sufficient evidence to warrant rejection of support the claim that a majority of Americans disapproved of Kavanaugh.