In: Statistics and Probability
3. The Pew Research Center conducted a survey in 2019 asking U.S. adults about their experiences dating online. In a random sample of 200 adults aged 18-49, 114 said dating sites are a safe way to meet people. In a random sample of 200 adults aged 50+, 82 said dating sites are a safe way to meet people. Research question: Are U.S. adults aged 18-49 more likely to say dating sites are safe than those aged 50+?
a. What are the hypothesis statements to answer the research question?
b. Are the appropriate conditions met to conduct a hypothesis test using the standard normal distribution? Explain.
c. Compute the value of the test statistic.
d. Find p-value using the appropriate theoretical distribution in StatKey (include screenshot from StatKey): p-value =
e. What is your conclusion in the context of this study?