Suppose 300 persons are selected at random from a large population; and that each person in the sample is classified according to whether his/her blood type is O, A, B, or AB, and also according to whether his/her blood type is Rh positive or Rh negative. Using the SAS output below to conduct the appropriate hypothesis test.  Use a 0.05 level of significance.

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Suppose 300 persons are selected at random from a large population; and that each person in the sample is classified according to whether his/her blood type is O, A, B, or AB, and also according to whether his/her blood type is Rh positive or Rh negative. Using the SAS output below to conduct the appropriate hypothesis test.  Use a 0.05 level of significance.

a) Null and alternative hypotheses

b) Test Statistic value

c) p-value

d) decision based on the p-value

The FREQ Procedure
Frequency
Table of rh by type
Рercent
rh
type
Row Pet
A B
АВ
Total
Col Pct
RH Positive
82
89
54
19
244
27.33 29.67 18.00
6.33
81.33
33.61 36.48 22.13
7.79
86.32 76.72 88.52 67.86
RH Negative
13
27
7
56
4.33
9.00
2.33
3.00
18.67
23.21 48.21 12.50 16.07
13.68 23.28 11.48 32.14
Total
95
116
61
28
300
31.67 38.67 20.33
9.33 100.00
Statistics for Table of rh by type
Statistic
DF Value Prob
Chi-Square
3 8.6037 0.0351
Likelihood Ratio Chi-Square 3 8.4473 0.0376
Mantel-Haenszel Chi-Square 1 1.5354 0.2153
Phi Coefficient
0.1693
Contingency Coefficient
0.1670
Cramer's V
0.1693
Transcribed Image Text:The FREQ Procedure Frequency Table of rh by type Рercent rh type Row Pet A B АВ Total Col Pct RH Positive 82 89 54 19 244 27.33 29.67 18.00 6.33 81.33 33.61 36.48 22.13 7.79 86.32 76.72 88.52 67.86 RH Negative 13 27 7 56 4.33 9.00 2.33 3.00 18.67 23.21 48.21 12.50 16.07 13.68 23.28 11.48 32.14 Total 95 116 61 28 300 31.67 38.67 20.33 9.33 100.00 Statistics for Table of rh by type Statistic DF Value Prob Chi-Square 3 8.6037 0.0351 Likelihood Ratio Chi-Square 3 8.4473 0.0376 Mantel-Haenszel Chi-Square 1 1.5354 0.2153 Phi Coefficient 0.1693 Contingency Coefficient 0.1670 Cramer's V 0.1693
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