Use the following information for questions:
A university administrator writes a report in which he states that at least 45% of all students have driven while under the influence of drugs or alcohol. Many others think the correct percent is less than 45%.
-What are appropriate null and alternative hypothesis in this situation?

Question

Use the following information for questions: A university administrator writes a report in which he states that at least 45% of all students have driven while under the influence of drugs or alcohol. Many others think the correct percent is less than 45%. -What are appropriate null and alternative hypothesis in this situation? A) H₀: $\hat{p}$ $\geq$ 0.45 vs. H_a: $\hat{p}$< 0.45 B) H₀: $\hat{p}$ = 0.45 vs. H_a: $\hat{p}$ ? 0.45 C) H₀: p $\geq$0.45 vs. H_a: p < 0.45 D) H₀: p = 0.45 vs. H_a: p ? 0.45

Quizplus · Accepted Answer

The null hypothesis (H0) is a statement of no effect or no difference and is the status quo. It often contains equal signs, but in this context, since the claim is "at least 45%", the null hypothesis should reflect that by stating p ≥ 0.45. The alternative hypothesis (Ha) is what you might believe to be true or hope to prove true and is generally the opposite of the null. Since many think the correct percent is less than 45%, the alternative hypothesis should be p < 0.45. Therefore, option C is correct as it accurately reflects these hypotheses.

Use the Following Information for Questions: a University Administrator p^\hat{p}p^​

Use the Following Information for Questions:
a University Administrator $\hat{p}$