No cursive and simple answer

For the following questions circle your answer and show all work. Unless otherwise noted, solutions without work or reasoning may not receive credit. Note that hypotheses must show the parameter of interest. 21. (10 points) 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 510 of 1000 pens to still be working. At an alpha of 0.05, is there evidence that more than 50% of pens will be working after 5 years? Use the p-value method. a) State your null and alternative hypotheses. b) State the test used. (t-test, z-test, 1prop-z-test etc) c) State your p-value. d) State your decision (reject HO or fail to reject HO) e) Interpret your decision in terms of the original