Question 2 (18 pts) A study was conducted in 2018 to investigate whether American adults are happy with their current job. A survey of 1200 US adults found that 246 of them described themselves as happy with their current job. a. What is the parameter of interest? Use proper notation. = 246 1200 b. Compute the sample statistic, Use proper notation. = 246 0 205 c. Is the sample size large enough for the Central Limit Theorem to apply. (i.e., verify that the sample is sufficiently large.) P(I-P)=SE Due to the small sample size, the sample Size is large enough to be considered a normal distribution D.205(1-0.205) = 0.000153 1200 d. Compute the standard error for this sample statistic. SE = P(I-P)=SE 0.000135 n e. What is z* for a 90% CI? 2-store : 1.645 f. Compute a 90% confidence interval for the proportion of American adults who are happy with their current job 0.205 + 1.145 x 0.000135 g. Interpret the results of the 90% CI you found in part f in context. h. Another researcher wants to conduct a similar study to more precisely estimate the proportion of American adults that are happy with their current job. They want to construct a 90% confidence interval that has a margin of error of 0.5%. How many American adults need to be in the sample