Math  /  Data & Statistics

QuestionTiffany Poynter 11/24/24\quad 11 / 24 / 24 5:46 PM ing a Claim about a Question 10, 8.2.26-T HW Score: 48.56\%, 8.26 of 17 points Test)
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When 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 p denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses. H0:p=0.5H1:p>0.5\begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p>0.5 \end{array} (Type integers or decimals. Do not round.) Identify the test statistic. z=\mathbf{z}=\square (Round to two decimal places as needed.)

Studdy Solution
The **test statistic** is z0.57z \approx 0.57.

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