Background:The COVID-19 pandemic and the resulting economic recession have negatively affected many people's health and created new barriers for people. Young adults have experienced symptoms of anxiety and/or depressive disorder. In June 2020, the proportion of young adults (ages 18-24) that experienced symptoms of anxiety and/or depressive disorder was 56%.

• Part 1

As a Statistician:You wonder with vaccinations being distributed if the rate of anxiety and/or depressive disorder is different from the data in June 2020.You decided to conduct a study.You randomly sample 200, young adults (ages 18-24) and find that 127 expressed that they experience anxiety and/or depressive disorder.

Instructions:

1. Test the claim at the 5% level of significance that the proportion of young adults (ages 18-24) affected by anxiety and/or depressive disorder is different.
2. [1 pt] State the Claim in words.
3. [2 pts] Null and Alternative Hypotheses-use appropriate notation.
4. [2 pts] Verify the conditions.
5. [3 pts] Compute the z-test statistic using the formularound 4 decimal places.
6. [3 pts] Demonstrates how to find the p-value.
7. [1 pt] Make a decision.
8. [4 pts] State and interpret the conclusion.

Part 2.

As a Statistician:You want to further investigate and decide to estimate the true population proportion of young adults(ages 18-24)that have experienced anxiety and/or depressive disorder as of March 2021.You randomly sample 200, young adults (ages 18-24) and find that 127 expressed that they experience anxiety and/or depressive disorder.

1. Estimate the population proportion of young adults (ages 18-24) that have experienced anxiety and/or depressive disorder with a 95% level of confidence.
2. [1 pt] State
3. [2 pts] Verify the conditions.
4. [3 pts] Compute the Margin of Error (using the Standard Error and Critical Value)
5. [2 pts] State the confidence interval
6. [4 pts] State and interpret the conclusion