O Part (a) State the null hypothesis. O Hoi p<0.01 O Họi ps0.01 O Họ: p* 0.01 O Ho: 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. O Prepresents 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.)

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Chapter1: Starting With Matlab
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I need help solving this, please explain or show your work so I can understand

"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.
Ho: p < 0.01
O Ho: ps0.01
O Ho: p # 0.01
Họ: p 2 0.01
O Part (b)
O Part (c)
In words, state what your random variable P' represents.
P' represents the average number of errors generated by the test program.
P' 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'-
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. Ho: p < 0.01 O Ho: ps0.01 O Ho: p # 0.01 Họ: p 2 0.01 O Part (b) O Part (c) In words, state what your random variable P' represents. P' represents the average number of errors generated by the test program. P' 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'-
Expert Solution
Given

n = 50

population proportion = 0.01

sample proportion = 2/50 = 0.04

The standard deviation for P is given by

SE = p(1-p)n

SE = 0.04(1-0.04)50

SE =0.0277

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