### Analyzing a Research Claim on Vaccination OpinionsA medical researcher posits that less than 72% of adults in a specific country believe that healthy children should be required to be vaccinated. In a random sample involving 200 adults from that country, 69% indicated that healthy children should be required to be vaccinated. With a significance level (α) of 0.10, the question is whether there is enough evidence to support the researcher's claim. Below is the step-by-step process to analyze this claim using hypothesis testing.#### Steps in Hypothesis Testing**(a) Identifying the Claim and Stating \( H_0 \) and \( H_a \)**1. **Identify the claim:** - The researcher claims that less than 72% of adults think healthy children should be vaccinated.2. **Select the correct hypothesis setup and fill in the blanks:** - A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not \_\_\_\_% - B. More than \_\_\_\_% of adults in the country think that healthy children should be required to be vaccinated - C. Less than \_\_\_\_% of adults in the country think that healthy children should be required to be vaccinated - D. \_\_\_\_% of adults in the country think that healthy children should be required to be vaccinated. Based on the researcher's claim, select: - **C. Less than \( 72\% \) of adults in the country think that healthy children should be required to be vaccinated.**3. **Setting the Null and Alternative Hypotheses:** - Let \( p \) be the population proportion of successes, where a success means an adult in the country believes healthy children should be vaccinated. - Select the appropriate hypothesis setup: Options: - A. \( H_0: p > \) \_\_\_\_\_ and \( H_a: p < \) \_\_\_\_\_ - B. \( H_0: p < \) \_\_\_\_\_ and \( H_a: p > \) \_\_\_\_\_ - C. \( H_0: p \geq \) \_\_\_\_\_ and \( H_a: p < \) \_\_\_\_\_ - D. \( H_0 ### Hypothesis Testing for ProportionsA medical researcher says that less than 72% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 69% think that healthy children should be required to be vaccinated. At \(\alpha = 0.10\), is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below.#### (a) Identify the critical value(s) for this test.\[ z_0 = \quad \] (Round to two decimal places as needed. Use a comma to separate answers as needed.)#### (b) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to two decimal places as needed.)- A. The rejection region is \( z < \quad \)- B. The rejection regions are \( z < \quad \) and \( z > \quad \)- C. The rejection region is \( \quad < z < \quad \)- D. The rejection region is \( z > \quad \)#### (c) Find the standardized test statistic \( z \).\[ z = \quad \](Round to two decimal places as needed.)#### (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.

Name: ### Analyzing a Research Claim on Vaccination OpinionsA medical resea
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Analyzing a Research Claim on Vaccination OpinionsA medical researcher posits that less than 72% of adults in a specific country believe that healthy children should be required to be vaccinated. In a random sample involving 200 adults from that