Problem
Life on Other Planets Forty-eight percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 130 randomly selected individuals and found 52 believed that there is life on other planets. At $\alpha=0.05$, is there sufficient evidence to conclude that the percentage differs from $48 \%$ ? Use the critical value method with tables. Do not round intermediate steps. Part: $0 / 5$ Part 1 of 5 (a) State the hypotheses and identify the claim. \[ \begin{array}{l} H_{0}: \square(\text { Choose one) } \nabla \\ H_{1}: \square(\text { Choose one } \nabla \end{array} \] This hypothesis test is a (Choose one) $\mathbf{\nabla}$ test.
Solution
Step 1 ：State the null hypothesis (H0) as: \(H_{0}: p = 0.48\)
Step 2 ：State the alternative hypothesis (H1) as: \(H_{1}: p \neq 0.48\)
Step 3 ：Identify the claim which is the alternative hypothesis
Step 4 ：This hypothesis test is a two-tailed test because we are testing if the percentage is different from 48%, not specifically greater or less than 48%.
