I need help solving this, please explain or show your work so I can understand "Untitled," by Stephen ChenI'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 difficultto 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 themanagement 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 canconvince 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 < 0.01O Ho: ps0.01O Ho: p # 0.01Họ: p 2 0.01O 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'-

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Description: I need help solving this, please explain or show your work so I can understand "Untitled," by Stephen ChenI've often wondered how software is released and sold to the public. Ironically, I work for a company that sells products with known problems. U

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Statistics

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.)

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

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'-

Expert Solution

Given

n = 50

population proportion = 0.01

sample proportion = 2/50 = 0.04

The standard deviation for P is given by

$S E = \sqrt{\frac{p (1 - p)}{n}}$

$S E = \sqrt{\frac{0.04 (1 - 0.04)}{50}}$

$S E = 0.0277$

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