Answers for question 6

6. 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 p-value method. Note that your conclusion should be the same as in the previous problem. a) State HO, Ha. b ) State the test you will use. (z-test, t-test, 1-prop-Ztest, etc) C ) Calculate your p-value. e) State your decision. f) Interpret your decision in terms of the original