Sophia Introduction to Statistics – Final Milestone | 2026 Verified Answers & Solutions

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MILESTONE

21/25




21/25  that's 84% RETAKE



 21 questions were answered correctly.
4 questions were answered incorrectly.




1 
●

The table below shows the results of a customer
satisfaction survey at a particular restaurant broken
down by males and females.


Male Female

Extremely Satisfied 25 7

Satisfied 21 13

Neutral 13 16

Dissatisfied 9 14

Extremely Dissatisfied 2 5


Assuming all 5 choices are equally likely, select the
observed and expected frequency for male customers
that are dissatisfied.


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Observed: 14

●
Expected: 9



Observed: 9

 #
Expected: 14



Observed: 9

●
Expected: 25



Observed: 9

●
Expected: 12.5




RATIONALE

If we simply go to the chart then we can directly see
the observed frequency for male customers who are
dissatisfied is 9.

To find the expected frequency, we need to find the
number of
occurrences if the null hypothesis is true, which in
this case, was that the five options are equally likely,
or if the five options were all evenly distributed.

First, add up all the options in the Male column:

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If each of these five options were evenly distributed
among the 70 males, we would need to divide the
total evenly between the five options:




This means we would expect 14 men to be extremely
satisfied, satisfied, neutral, dissatisfied, and
extremely dissatisfied.


CONCEPT
→ Chi-Square Statistic



2 
●

Which of the following is an example of a false
negative?



Test results indicate that a
woman is pregnant when
●
she is not.



Test results indicate that a
woman is not pregnant
 #
when she is.




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Test results confirm that a
● woman is not pregnant.



Test results confirm that a
● woman is pregnant.




RATIONALE

Since the test results indicate negatively, showing
that the woman is not pregnant when in fact she is
pregnant, this is a false negative.


CONCEPT
→ False Positives/False Negatives



3 
●

Dida bought a scratch ticket for $2.00. The potential
payoffs and probability of those payoffs are shown
below.


Value Probability

$0.00 0.15

$0.50 0.50

$1.00 0.20

$2.00 0.10


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