I need answers from D-F

5. A manufacturer states that for a certain type of pen, more than half should be working after 5 years of heavy use. A lab tested 1000 pens simulating 5 years of heavy use and found 506 of 1000 pens to still be working. Is there evidence that more than 50% of pens will be working after 5 years? Use the rejection region method. a) State HO, Ha. Ho: there is evidence that after 5 years, not more than 50% of the pens would work . Ha: there is evidence that after 5 years, more than sooo of the pens would work. b) State the test you will use. (z-test, t-test, 1-prop-Ztest, etc) used I Prop z test to test a single proportion c) Sketch your rejection region and label the cutoff(s). Distribution Plot 3 Normal , mean = 0, 50= 1 Density . 2 1050 1 645 d ) Calculate your test statistic (from calculator). e) State your decision. f) Interpret your decision in terms of the original