5. For a study of unethical corporate conduct, a sample of 96 accounting graduates was asked to perform an unethical task (to bribe a customer), and cach subject's intention to comply with the unethical request score was measured. Scores ranged from -1.5 (intention to resist the unethical request) to 2.5 (intention to comply with the unethical request). Summary statistics on the 96 Ncores show 7= 2.21 and s = 2.84. One rescarcher, Dr. Jones, of the opinion that subjects will tend to perform the unethical task, believes the mean intention score will exceed 2. Do the data support this belief? Test using a = 0.05. (a) In order to investigate the claim made by Dr. Jones, write down the proper null and alternative hypotheses. Ho: Ha: (b) Calculate the value of the test statistic z, (round to four decimal places as needed): (c) Calculate the p-value (round to four decimal places as needed). (d) Determine the rejection region for this test (and sketch it).
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![5. For a study of unethical corporate conduct, a sample of 96 accounting graduates was asked to perform an
unethical task (to bribe a customer), and each subject's intention to comply with the unethical request score was
measured. [Scores ranged from -1.5 (intention to resist the unethical request) to 2.5 (intention to comply with the
unethical request).] Summary statistics on the 96 scores show = 2.21 and s = 2.84. One rescarcher, Dr. Jones,
of the opinion that subjects will tend to perform the unethical task, believes the mean intention score will exceed
2. Do the data support this belief? Test using a = 0.05.
(a) In order to investigate the claim made by Dr. Jones, write down the proper null and alternative hypotheses.
Ho:
Hạ:
(b) Calculate the value of the test statistic z (round to four decimal places as needed) :
(c) Calculate the p-value (round to four decimal places as needed).
p =
(d) Determine the rejection region for this test (and sketch it).
You should find two of the following useful for parts (c) and (d):
P(z >0.7245) 0.2344
P(z > 2.210) = 0.0136
205 1.645
025 1.96
(e) Using either the p-test or the rejection region method, make the appropriate conclusion (and state it formally).
Do the data support Dr. Jones' belief?
(f) From this problem, we do not know if unethical request scores are normally distributed. Explain why our
conclusion is still valid.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3617dcdb-38b0-4509-9fd9-c5e9a4205d16%2F678063bf-34f1-4273-9ccd-53e3d4f9d1f0%2Fnk5xvip_processed.jpeg&w=3840&q=75)
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