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348 of the 400 randomly sampled graduates fouse degrees. Suppose we conduct a survey and find out that over 4500 students. a) What is the value of the point estimate of this parameter? b) Check if the conditions for constructing a confidence interval based on these data are met. Independence condition Success-failure condition c) Calculate a \( 95 \% \) confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university, and interpret it in the context of the data. We are \( 95 \% \) confident that approximately \$ so fenter the smalter number first, to the nearest tenth of a percent) of graduates from this university found a job within one year of completing their undergraduate degree. e) Now catculate a \( 99 \mathrm{k} \) confidence interval for the same parameter and interpret it in the context of the data. We are \( 99 \% \) confident that approximately o fonter the smaller number first, to the nearest tenth of a percent) of graduates from this university found a job within one year of completing, their undergraduate degree.
f) Compare the widths of the \( 95 \% \) 3ls. Which one is wider? Why is this?

sample size (n)=400. population size (N)=4,500. number of samples who found a job (x)=348. point estimate of parameter (p)=xn=348400=0.8700 As withing

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