Math  /  Data & Statistics

QuestionWhen Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1002 Americans showed that 50.9%50.9 \% of them disapproved of Kavanaugh. A newspaper published an article with this headline: "Majority of Americans Disapprove of Kavanaugh." Use a 0.10 significance level to test the claim made in that headline. Use the P -value method. Use the normal distribution as an approximation to the binomial distribution.
Let pp denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses. H0:p VH1:p V\begin{array}{l|l|l} \mathrm{H}_{0}: \mathrm{p} & \mathrm{~V} & \square \\ \mathrm{H}_{1}: \mathrm{p} & \mathrm{~V} & \square \end{array} (Type integers or decimals. Do not round.)

Studdy Solution
We *fail to reject* the null hypothesis.
There isn't enough evidence to support the claim that a majority of Americans disapproved of Kavanaugh at the 0.100.10 significance level.
Bummer for the newspaper!

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