Part 1 of 4 Points: 0 of 1 When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1036 Americans showed that \( 51.4 \% \) of them disapproved of Kavanaugh A newspaper published an article with this headline "Majority of Americans Disapprove of Kavanaugh." Use a 0.05 significance level to test the claim made in that headline. Use the P-value method. Use the normal distribution as an approximation to the binomi distribution. Let p denote the population proportion of all Americans who disapproved of Kavanaugh. Identify the null and alternative hypotheses. \[ \begin{array}{l} \mathrm{H}_{0}: \mathrm{p} \\ \mathrm{H}_{1}: \mathrm{p} \\ \nabla \\ \nabla \end{array} \] (Type integers or decimals. Do not round.)
Upstudy AI Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Extra Insights
To set up the null and alternative hypotheses for this problem, we can define \( p \) as the population proportion of all Americans who disapproved of Kavanaugh. The null hypothesis \( H_0 \) represents the statement of no effect or no difference, while the alternative hypothesis \( H_1 \) reflects the claim we are testing. \[ \begin{array}{l} \mathrm{H}_{0}: \mathrm{p} = 0.5 \quad (\text{The population proportion of disapproval is 50\%}) \\ \mathrm{H}_{1}: \mathrm{p} > 0.5 \quad (\text{The population proportion of disapproval is greater than 50\%}) \\ \nabla \\ \nabla \end{array} \]
