Q4 Points =1+2+3+1+1=8 Chapter 16 23. Educated On November 29, 2017, Statistics Canada reported that 54% of Canadians aged 25-64 had either college or university qualification, up from 48.3% in 2006 (from the 2016 and 2006 censuses). (...a few sentences dropped.) 24 More educated You run an SRS of 4500 people aged 25-64 to see if the proportion with a post-secondary qualification in 2022 has changed since 2017 (see the exercise # 23. Educated). You find that 2580 have the qualifications. a) Write appropriate hypotheses. b ) Check the assumptions and conditions. c) Perform the test and find the P-value. d) State your conclusion. e) Do you think this difference is meaningful? Explain.Q5 Points =1+l+1+1= 4 Ch 18, Ex 36. 36 Catheters During an angiogram, heart problems can be examined via a small tube (a catheter) threaded into the heart from a vein in the patient's leg. It's important that the company that manufactures the catheter maintain a diameter of 2.00 mm. (The standard deviation is quite small.) Each day, quality control personnel make several measurements to test H0: u=2.00 against HA: u752.00 at a signicance level of (1:005. If they discover a problem, they will stop the manufacturing process until it is corrected. 38 Catheters again The catheter company in Exercise 36 (above) is reviewing its testing procedure. Suppose the signicance level is changed to (120.01. a) Will the probability of a Type 11 error increase, decrease, or remain the same? b) What is meant by the power of the test the company conducts? c) Suppose the manufacturing process is slipping out of proper adjustment. As the actual mean diameter of the catheters produced gets farther and farther above the desired 2.00 mm, will the power of the quality control test increase, decrease, or remain the same? d) What could they do to improve the power of the test? Q Points = 1+1+1+1+1+3=8 A random sample of size n=19 observations was drawn from a normal population with variance 0'2 = 3.1. The sample mean was 3? =22.5. The researcher's interest was to defend that the population mean u > 25. (i) Write the null and alternative hypotheses for the test. (ii) Write the test statistic and any assumptions if you are making. (iii) Write the distribution of the test statistic under the null hypothesis. (iv) Describe the decision rule, or draw a picture and show the critical region (aka rejection region) for the test (1:005? (v) Draw your conclusion. (vi) Calculate the power of the test when the alternative value for u =27