Question

Suppose a professor wants to estimate the proportion of UM students who have a satisfying experience with the e-learning approach adopted by the school in the current semester. What is the minimum sample size that he should use if he wants the estimate to be accurate within ±0.06 with a 90% confidence?

Select one:

a. 267

b. 752

c. 456

d. 188

If P(A) = 0.4 and P(B) = 0.6, which of the following must be true?

Select one:

a. Events A and B are mutually exclusive.

b. Events A and B are collectively exhaustive.

c. Events A and B are statistically independent.

d. None of the other three choices must be true.

Which of the following is TRUE?

Select one:

a. Mean is always equal to median.

b. Mode is better than mean to measure the central tendency for categorical data.

c. A data group with larger standard deviation has relatively greater variability than another data group with smaller standard deviation.

d. Population variance is always equal to sample variance.

Because of the outbreak of the coronavirus, students of UM are allowed to opt for Pass/Fail grade for courses they enroll in the second semester of 2019/2020. An instructor of ISOM2002 believes that there will be more than 35% of the students in the course choosing this option. A random sample of 40 students of ISOM2002 reveals that 16 of them prefer to take the Pass/Fail option. What would be the two hypotheses if we want to test the instructor’s belief?

Select one:

a. H_{0}: π ≤ 0.40 and H_{1}: π > 0.40

b. H_{0}: π ≥ 0.35 and H_{1}: π < 0.35

c. H_{0}: π ≥ 0.40 and H_{1}: π < 0.40

d. H_{0}: π ≤ 0.35 and H_{1}: π > 0.35

Donald has in his pocket three coins: two fair coins and a two-headed coin. He selects one of the coins at random; when he tosses it, it shows head. What is the probability that the selected coin is a two-headed coin?

Select one:

a. 0.25

b. 0.333

c. 0.75

d. 0.5

Answer #1

Because of the outbreak of the coronavirus, students of UM are
allowed to opt for Pass/Fail grade for courses they enroll in the
second semester of 2019/2020. An instructor of ISOM2002 believes
that there will be more than 35% of the students in the course
choosing this option. A random sample of 40 students of ISOM2002
reveals that 16 of them prefer to take the Pass/Fail option. What
would be the two hypotheses if we want to test the instructor’s...

Suppose a professor wants to estimate the proportion of UM
students who have a satisfying experience with the e-learning
approach adopted by the school in the current semester. What is the
minimum sample size that he should use if he wants the estimate to
be accurate within ±0.06 with a 90% confidence?
Select one:
a. 752
b. 267
c. 188
d. 456

Because of the outbreak of the coronavirus, students of UM are
allowed to opt for Pass/Fail grade for courses they enroll in the
second semester of 2019/2020. An instructor of ISOM2002 believes
that there will be more than 35% of the students in the course
choosing this option. A random sample of 40 students of ISOM2002
reveals that 16 of them prefer to take the Pass/Fail option. At 5%
level of significance, what would be the rejection rule if we...

Because of the outbreak of the coronavirus, students of UM are
allowed to opt for Pass/Fail grade for courses they enroll in the
second semester of 2019/2020. An instructor of ISOM2002 believes
that there will be more than 35% of the students in the course
choosing this option. A random sample of 40 students of ISOM2002
reveals that 16 of them prefer to take the Pass/Fail option. At 5%
level of significance, what would be the rejection rule if we...

In a recent survey conducted by a professor of UM, 200 students
were asked whether or not they have a satisfying experience with
the e-learning approach adopted by the school in the current
semester. Among the 200 students interviewed, 121 said they have a
satisfying experience. What is the 99% confidence interval for the
proportion of all UM students who have a satisfying experience with
the e-learning approach?
Select one:
a. 0.516 to 0.694
b. 0.548 to 0.662
c. 0.524...

In a recent survey conducted by a professor of UM, 200 students
were asked whether or not they have a satisfying experience with
the e-learning approach adopted by the school in the current
semester. Among the 200 students interviewed, 121 said they have a
satisfying experience. What is the 99% confidence interval for the
proportion of all UM students who have a satisfying experience with
the e-learning approach? Select one: a. 0.524 to 0.686 b. 0.516 to
0.694 c. 0.537...

Donald has in his pocket three coins: two fair coins and a
two-headed coin. He selects one of the coins at random; when he
tosses it, it shows head. What is the probability that the selected
coin is a two-headed coin? Select one: a. 0.5 b. 0.75 c. 0.25 d.
0.333

In a recent survey conducted by a professor of UM, 200 students
were asked whether or not they have a satisfying experience with
the e-learning approach adopted by the school in the current
semester. Among the 200 students interviewed, 121 said they have a
satisfying experience. What is the 99% confidence interval for the
proportion of all UM students who have a satisfying experience with
the e-learning approach?
Select one:
a. 0.548 to 0.662
b. 0.524 to 0.686
c. 0.537...

It is desired to estimate the proportion of students at UM who
consider live Zoom lecture is an effective way to conduct online
lectures. Responses were randomly collected from 50 students and
the 95% confidence interval was calculated to be (0.227, 0.493).
Which of the following interpretation is correct?
a. We are 95% confident that the proportion of all students at
UM who consider live Zoom lecture is an effective way to conduct
online lectures falls between 0.227 and 0.493....

Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 82 students shows that 37
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
(a) State the null and alternate hypotheses. Options:
H0: μ = 0.35; H1: μ <
0.35
H0:...

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