MAT 243 Module 8 Quiz
A biologist is studying the composition of birds on a lake and counts 61 ducks, 17
geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around
the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese,
12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and
observed counts? - ANS-Expected: 55 ducks, 25, geese, 13 cranes, 11 swans, and 6
herons.
Observed: 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons.
What is the use of the chi-square goodness of fit test? - ANS-To test how close the
distribution of a population is to an expected distribution
Which of the following Python methods is used to perform chi-square goodness of fit
tests? - ANS-chisquare from scipy.stats submodule
A biologist is studying the composition of birds on a lake and counts 61 ducks, 17
geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around
the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese,
12% to be cranes, 10% to be swans, and 5% to be herons. What are the correct null
and alternative hypotheses for performing a chi-square goodness of fit test? - ANS-Null
hypothessis H0: The distribution of observed follows the distribution from previous
studies.
Alternative hypothesis H1: The distribution of birds observed does not follow the
distribution from previous studies
A university conducted a survey of its recent graduates. The university wanted to
measure the quality of a new Engineering course. A survey was conducted during the
first offering of the course to evaluate its overall quality. The results of the survey are
shown below:
Needs Improvement: 55%
Meets Expectations: 30%
Excellent: 15%
The university made improvements to the course earlier this year. Then it conducted
another survey to evaluate how these improvements worked. A total of 500 students
were surveyed. Their results are shown below:
Needs Improvement: 175 students
Meets Expectations: 225 students
Excellent: 100 students
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