I'm in a bit of a rush thank you!

3. {3 points} A quality control analyst of a factor}.r claims that the production was improved this year. [t is known that 5 in ID!) products are defective. A randomly selected sample of 25!] products oontains 3 defective items. [use d = Bill] a] [1] State the nu]1 and alternative hypotheses to verifj,r the claim. h] [1] 'What is the parameter of interest? Calculate a point estimate of the parameter of interest. c] [2] Calculate the test statistic value and show the p-value on a graph. d) [1] Make the decision according to the p-value. e) [1] What conditions are required for the validity of the test in part (a)? Does the given sample meet those requirements? [) [2] Determine the number of items that need to be sampled in order to estimate the parameter to within 0.03 of its true value with 95% confidence. (suppose there is no previous sample)