4. Unethical Conduct in Marketing For a study of unethical conduct, a sample of 100 marketing graduates was requested to bribe a customer, and ecach subject's intention to comply with the request was measured.[Scores ranged from -1.5 (intention to resist the request) to 2.5 (intention to comply with the request).] Summary statistics on the 100 scores show 7 = 2.31 and s 3.14. One researcher, Dr. Samuel, has the opinion that the mean intention score will DIFFER from 2. Do the data support this belief? Carry out a hypothesis test of Dr. Samuel's opinion, such that there is a 5% chance of having a Type I Error. (Complete Parts (a), (b), and (c).)
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.
Tree diagram
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.
![4. Unethical Conduct in Marketing For a study of unethical conduct, a sample of 100 marketing
graduates was requested to bribe a customer, and ecach subject's intention to comply with the request
was measured.[Scores ranged from -1.5 (intention to resist the request) to 2.5 (intention to comply with
the request).] Summary statistics on the 100 scores show F = 2.31 and s = 3.14. One researcher, Dr.
Samuel, has the opinion that the mean intention score will DIFFER from 2. Do the data support this
belief? Carry out a hypothesis test of Dr. Samuel's opinion, such that there is a 5% chance of having a
Type I Error. (Complete Parts (a), (b), and (c).)
(a) The value of the test statistic 2 (rounded to three decimal places) is
(i) 0.987
(ii) 2.310
(iii) 0.099
(iv) 7.356
(b) The p-value (rounded to four decimal places) is
(i) 0.1618
(ii) 0.3236
(iii) 0.0208
(iv) 0
You should find on of the following useful for Part (b):
P(2 > 0.987) = 0.1618
P(z > 2.310) = 0.0104
P(2 > 0.099) = 0.4606
P(2 > 7.356) - 0
(c) The proper conclusion of the hypothesis test is that
(i) There is evidence to support Dr. Samuel's opinion, because p> a
(ii) There is evidence to support Dr. Samuel's opinion, because p< a
(iii) There is no evidence to support Dr. Samuel's opinion, because p > a
(iv) There is no evidence to support Dr. Samuel's opinion, because p< a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3617dcdb-38b0-4509-9fd9-c5e9a4205d16%2Ff73d27bb-e688-4b27-a7b4-282d4fa08484%2Fr3szoqo_processed.jpeg&w=3840&q=75)
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