Question

When making random guesses for difficult multiple choice test
questions with possible answer of A,B,C,D, and E. We expect to get
20% answers correct. A student uses another method of guessing and
get 23% answers correct. There is a chance of 26% of getting such
result if this method is as good as guessing.

A) Does the method used by the student have statistical
significant ? Explain.

B) Does the method used by the student have practical
significant ? Explain.

Answer #1

**Solution:-**

**A)**

**State the hypotheses.** The first step is to
state the null hypothesis and an alternative hypothesis.

Null hypothesis: P_{1} = P_{2}

Alternative hypothesis: P_{1} > P_{2}

Note that these hypotheses constitute a one-tailed test.

**Since the p-value(0.26) is greater than the significance
level(0.05), hence we have to reject the null
hypothesis.**

**A) The method used by the student is not statistical
significant.**

**B) The method used by the student have practical
significant, becuase** new method of guessing gets 23%
answers correct which is greater than expected 20%.

If you make random guesses for 20 multiple choice test questions
each with four possible answers, what is the probability of
a) Getting at least one correct (5 points)
b) Getting all
answers wrong; (5 points)

A multiple choice test consists of 23 questions with possible
answers of a,b,c,d. Estimate the probability that with random
guessing the number of correct answers is at least 11.

1.)You make random guesses for 10 multiple choice questions
(options are a, b, c, d, or e) on a test, answer the following.
What is the probability of getting none of the questions correct
(Event G)?
What is the probability of getting at least one of the questions
correct?
What is the complement of event G? (in words).

A multiple-choice test consists of 27 questions with possible
answers of a, b, c, d, e, f. Estimate the probability that with
random guessing, the number of correct answers is at least 8.

A student guesses on every question of a multiple-choice test
that has 7 questions, each with 3 possible answers. What is the
probability that the student will get at least
5 of the questions right?

1. If you make random guesses for 7 multiple choice questions
(each with 5 possible answers), what is the probability of getting
at least one answer correct?
2. Find the probability that two randomly selected people were
both born on Christmas day.(Ignore leap years)
3. Find the probability that two randomly selected people were
born on the same day. (Ignore leap years)
4. You are trying to guess a 6 digit password using 0 through 9.
Repetitions of digits are...

A test consists of 10 multiple choice questions, each with five
possible answers, one of which is correct. To pass the test a
student must get 60% or better on the test. If a student randomly
guesses, what is the probability that the student will pass the
test? Please show work

Assume that random guesses are made for eight multiple choice
questions on an SAT test, so that there are nequals8 trials, each
with probability of success (correct) given by pequals0.3. Find
the indicated probability for the number of correct answers. Find
the probability that the number x of correct answers is fewer than
4.

Assume that random guesses are made for eight multiple choice
questions on an SAT test, so that there are nequals8 trials, each
with probability of success (correct) given by pequals0.55. Find
the indicated probability for the number of correct answers. Find
the probability that the number x of correct answers is fewer than
4.

MC1701: A test consists of 10 multiple choice questions, each
with five possible answers, one of which is correct. To pass, a
student must get at least 6 correct on the test. If a student
randomly guesses at every question, what is the probability that
the student fails the test?
a.
2.6%
b.
20%
c.
80%
d.
97.4%
e.
99.4%
f.
None of these

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