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 rejection region method.

a) State H0, Ha.

b) State the test you will use. (z-test, t-test, 1-prop-Ztest, etc)

c) Sketch your rejection region and label the cutoff(s).

d) Calculate your test statistic (from calculator).

e) State your decision.

f) Interpret your decision in terms of the original problem

7. 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 H0, 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 problem