Give a brief analysis on the following Chi square for cross 1 (Wild type female × white eyes vestigial wings male) (1st image) and the chi square 2 (White eyes vestigial female × wild type Male)(2nd image). The chi-square value for cross1 is 7.259 and for cross 2 is 59.301.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 22E
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Give a brief analysis on the following Chi square for cross 1 (Wild type female × white eyes vestigial wings male) (1st image) and the chi square 2 (White eyes vestigial female × wild type Male)(2nd image).

  • The chi-square value for cross1 is 7.259 and for cross 2 is 59.301.
White eyes with
normal wings
Red
eyes
with
Red
eyes
with
White eyes with
normal wings
vestigial wings
vestigial wings
Observed frequency
50
53
10
(0)
Expected frequency
(E)
66.9375
22.3125
22.3125
7.4375
Deviation (O-E)
-16.9375
-16.3125
30.6875
2.5625
Thus, X will be
(-16,9375)²
(-16.3125)²
+
(30.6875)2
(2.5625)-
+
66.9375
22.3125
22.3125
7.4375
266.098
286.879
66.9375
941.723
+
22.3125
6.566
+
7.4375
22.3125
= 4. 286 + 11.926 + 42. 206 + 0. 883
59. 301
Hence, chi-square (X ) is 59.301.
Transcribed Image Text:White eyes with normal wings Red eyes with Red eyes with White eyes with normal wings vestigial wings vestigial wings Observed frequency 50 53 10 (0) Expected frequency (E) 66.9375 22.3125 22.3125 7.4375 Deviation (O-E) -16.9375 -16.3125 30.6875 2.5625 Thus, X will be (-16,9375)² (-16.3125)² + (30.6875)2 (2.5625)- + 66.9375 22.3125 22.3125 7.4375 266.098 286.879 66.9375 941.723 + 22.3125 6.566 + 7.4375 22.3125 = 4. 286 + 11.926 + 42. 206 + 0. 883 59. 301 Hence, chi-square (X ) is 59.301.
Red eyes with
normal wings
Red eyes with
vestigial wings
White eyes with
normal wings
White
eyes
with
vestigial wings
Observed frequency
58
13
12
1
(0)
Expected frequency
(E)
47.25
15.75
15.75
5.25
Deviation (O-E)
10.75
-2.75
-3.75
-4.25
Thus, x?
will be
(10.75)-
(-2.75)
+
(-3.75)
+
(-4.25)-
+
47.25
15.75
15.75
5.25
7.5625
+
14.0625
+
15.75
18.0625
5.25
115.5625
47.25
15.75
= 2.446 + 0. 48 + 0. 893 + 3.44
= 7. 259
Hence, chi-square (X)
) is 7.259.
Transcribed Image Text:Red eyes with normal wings Red eyes with vestigial wings White eyes with normal wings White eyes with vestigial wings Observed frequency 58 13 12 1 (0) Expected frequency (E) 47.25 15.75 15.75 5.25 Deviation (O-E) 10.75 -2.75 -3.75 -4.25 Thus, x? will be (10.75)- (-2.75) + (-3.75) + (-4.25)- + 47.25 15.75 15.75 5.25 7.5625 + 14.0625 + 15.75 18.0625 5.25 115.5625 47.25 15.75 = 2.446 + 0. 48 + 0. 893 + 3.44 = 7. 259 Hence, chi-square (X) ) is 7.259.
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