Question

In 2005, the Gallup Poll estimated that 32% of adults believe in ghosts. In a random sample of 200 young adults (ages 18-29), 38% said they believed in ghosts. Is this evidence that young adults are more likely to believe in ghosts? a. What is the population of interest? b. Describe p in words. c. Write the Hypotheses. d. Perform the test using a significance level of 0.10 ( = 0.10) ii. P-value Due to the different methods, I rounded out to 2 decimal places. Select the best possible answer. iii. Conclusion in context e. Explain what the P-value you found means in the context of the problem f. What would be a Type I Error in the context of this problem? i. Find a 95% confidence interval for p. Due to rounding errors, I rounded out to 2 decimal places. Select the best possible answer.

Answer 1

Population of interest - young adults

Let p denotes the true proportion of young adults who said they believed in ghosts.

c) and d)

f) Type I error = Reject H₀ when H₀ is actually true = Concluding that young adults are more likely to believe in ghosts while true proportion is less than or equal to 0.32

i)