Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) 7 p-N

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I need help solving the last part of this problem. Please explain so I can understand, thanks!

"Untitled," by Stephen Chen
I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult
to fix. I usually use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an error occur, the likelihood of generating an error is 1%.
So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates, but more often. To find out if my test program is better than the original, so that I can convince the
management that I'm right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I generated the error twice. While this may not seem much better, I think that I can
convince the management to use my test program instead of the original test program. Am I right?
Conduct a hypothesis test at the 5% level.
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
State the null hypothesis.
O Ho: p< 0.01
OHo: ps0.01
O Họ: p* 0.01
O Họi p20.01
O Part (b)
O Part (c)
In words, state what your random variable P'represents.
O P'represents the average number of errors generated by the test program.
'represents the proportion of errors generated by the test program.
O P'represents the number of errors generated by the test program.
O P'represents the difference in errors between program X and program Y.
O Part (d)
State the distribution to use for the test. (Round your answers to four decimal places.)
P'-N
Transcribed Image Text:"Untitled," by Stephen Chen I've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. Unfortunately, most of the problems are difficult to create, which makes them difficult to fix. I usually use the test program X, which tests the product, to try to create a specific problem. When the test program is run to make an error occur, the likelihood of generating an error is 1%. So, armed with this knowledge, I wrote a new test program Y that will generate the same error that test program X creates, but more often. To find out if my test program is better than the original, so that I can convince the management that I'm right, I ran my test program to find out how often I can generate the same error. When I ran my test program 50 times, I generated the error twice. While this may not seem much better, I think that I can convince the management to use my test program instead of the original test program. Am I right? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Ho: p< 0.01 OHo: ps0.01 O Họ: p* 0.01 O Họi p20.01 O Part (b) O Part (c) In words, state what your random variable P'represents. O P'represents the average number of errors generated by the test program. 'represents the proportion of errors generated by the test program. O P'represents the number of errors generated by the test program. O P'represents the difference in errors between program X and program Y. O Part (d) State the distribution to use for the test. (Round your answers to four decimal places.) P'-N
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