AP Biology Chi-Squared Practice Problems, Study notes of Biology

on each unit exam. I have experienced extreme difficulties finding chi-squared problems that are not all content specific, but still appropriate for the ...

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AP Biology Chi-Squared Practice
Problems
(Set l)
The integration of analytical skills in the AP Biology course has provided a
new challenge for AP Biology teachers. In an attempt to facilitate student
mastery of unfamiliar skills have chosen to front-load analytical skills into
beginning of my course. My students will be assessed with a minimum
of 5 grid-in
on
each unit exam.
I have experienced extreme difficulties finding chi-squared problems that
are not all content specific, but still appropriate for the c«mse. In order to
implement the course long strategy I needed a bank of problems that students
could complete at any time in the course. I've decided to pass these problems I've
developed on to the AP Biology teachers who are experiencing the same struggle!
(O-E)2
Chi-Squared Formula: x
2
Critical Values:
Where: O Observed Result
E Expected Result
E Sum of
Degrees
of
Freedom
SS
2 .040
3185
.429
5.752
level of
.004
.103
.352
080
.064
1005
2343
050
1.386
2.366
3.357
4.351
.20
3.22
usu
5.qq
7.29
.10
2.71
625
7.78
(P)
.05
3.84
5.qq
7.82
q.uq
107
002
7.82
9.84
167
13.39
.01
5.64
9.21
135
13.28
s.oq
0.83
13.82
s.27
18.47
20.52
pf3
pf4
pf5

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AP Biology Chi-Squared Practice

Problems

(Set l)

The integration of analytical skills in the AP Biology course has provided a new challenge for AP Biology teachers. In an attempt to facilitate student mastery of unfamiliar skills have chosen to front-load analytical skills into beginning of my course. My students will be assessed with a minimumof 5 grid-in on each unit exam. I have experienced extreme difficulties finding chi-squared problems that are not all content specific, but still appropriate for the c«mse. In order to implement the course long strategy I needed a bank of problems that students could complete at any time in the course. I've decided to pass these problems I've developed on to the AP Biology teachers who are experiencing the same struggle!

(O-E)

Chi-Squared Formula: x 2

Critical Values:

Where: O Observed Result E Expected Result E •Sum of

Degrees of FreedomSS

. (^5).

level of

. . .

080 .

1005

2343

050

usu 5.qq

.

625

(P) .

5.qq

q.uq 107

002

167

.

135

s.oq

s.

I. Whenstudying animal behavior, the distribution of organisms within a choice chamber can be studiedto identify animal preferences. 20 Isopodsare placed in a 2-choice choice chamber. A cotton ball dampened with distilled water is placed in Chamber A; A dry cotton ball is placed in Chamber B. After 15minutes 2 Isopods are located in Chamber B, and 18isopods are found in Chamber A. Perform the chi-squared test to determine if the distribution of isopods is significant or due to random chance. (3 points)

a. Complete the grid in (^) b. Complete the grid in space with the chi- squared value.

RROR 00000

00000 00000 ooopo 0> 00000 0000b obooo

space with the critical

value.

00000

00000 oodoo

00000

00000

c. Do you reject the null hypothesis? Yes or No

  1. When a six-sided die is rolled, the roller has six possible outcomes. Emily claims that she nearly always rolls 5. Emily believes that 5 is her lucky number, and something super-natural is leading to this pattern or outcomes. Emily rolls a die 300 times and records the outcomes. Perform a chi-squared test to determine if Emily is truly rolling a significant number of fives, or if Emil 's rolls are sim I due to chance. (3 ints) Die Face

    of

    times 15 70 33 31 rolled

(^89 )

c. Do you reject the null hypothesis? Yes or No

u. Mark accuses Brandonof using a weighted coin when they are flipping coins for a piece of pizza. Mark states that Brandonalways chooses^ heads, and the coin seems to decide in Brandon'sfavor. To prove his innocence, Brandon flips the coin 30 times to demonstrate his innocence. After 30 flips the coin lands on heads 18times, and the coin lands on heads tails 12. Perform the chi-^ ed test to determine if Brandon is trul^ cheatin^ his friend. a. Complete the grid in b. Complete the grid in space with the chi- squared value.

00006

00000 00000 00000 00000

oooeo

boooo boobo

space with the critical value.

00000 00000

oeoeo poooo

c. Do you reject the null^ hypothesis? Yes or No

  1. In a marketing study, 120Studentsare given a taste-test of different colas. The results are recorded below Is there a cola students eferb taste? Cola A Cola B Cola C Cola D

of students (^20)

choosin cola

a. Complete the grid in space with the chi- squared value.

eco.. 0 000

00000 00000

00000 00000

38

b. Complete the grid in space with the critical squared value.

00000 00000 00000 00000 00000 00000

eooee

00000

c. Do you reject the null hypothesis? Yes or No