Answer:
see below
Step-by-step explanation:
(a) The population parameter of interest is the proportion of all graduates who found a job within one year of completing their degree. The point estimate of this parameter from the sample is approximately 0.348.
(b) The conditions for constructing a confidence interval are met: The sample is random, and it's less than 10% of the population size.
(c) A 95% confidence interval for the proportion of graduates who found a job is calculated, indicating a range within which the true proportion likely falls.
(d) A 95% confidence level means that in repeated sampling, about 95% of the confidence intervals constructed would contain the true population proportion.
(e) A 99% confidence interval is calculated, which is wider than the 95% interval, providing a higher level of confidence.
(f) The 99% confidence interval is wider than the 95% interval because it accommodates a higher level of confidence, which requires a broader range of possible values to contain the true proportion.