Explain how to solve questions 4, 5 and 6

You recently sent out a survey to determine if the percentage of adults who use social media has changed from 68%, which was the percentage of adults who used social media five years ago. Of the 2932 people who responded to survey, 1766 stated that they currently use social media. a) Use the data from this survey to construct a 94% confidence interval estimate of the proportion of adults who use social media. Record the result below in the form of (#, #). Round your final answer to four decimal places. b) Can you conclude that the percentage of adults who use social media has changed? Explain. O Yes, because the proportion of adults who used social media five years ago is inside of the confidence interval. 0 Yes, because the proportion of adults who used social media five years ago is not inside the confidence interval. O No, because the proportion of adults who used social media five years ago is inside the confidence interval. O No, because the proportion of adults who used social media five years ago is not inside the confidence interval. c) If it has changed, has it increased or decreased? O The percentage increased. O The percentage decreased. Q We cannot determine that the percentage has changed. You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately 39* = 72 % of the population have the genetic marker. You would like to be 99% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required? n: Do not round mid-calculation. However, you may use a critical value accurate to three decimal places. The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 308 homes in Oregon found that 122 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: Select an answer v H1: Based on the hypotheses, compute the following: b. Test Statistic = c. p-value = d. Based on the above we choose to e. The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 49%