A researcher believes that among the residents of a remote community, 10% have type O blood, 10% have type A blood, 30% have type B blood and 50% have type AB blood. She takes a random sample of 145 residents and finds that 32 had type O blood, 20 had type A blood, 45 had type B blood and 48 had type AB blood. = Do the data follow the hypothesized distribution of blood type for this community? Test at a your answers to three decimal places, if necessary. Null hypothesis: X O Ho: Po Ho: Po = 32 145 O Ho: Po = 1 32 " PA = , PA = 20 145 1 20 Alternative hypothesis: 1 Ho: Po PA PB = PAB = = = 4 PB = PB = PA PB = PAB = 20 145 1 4 45 145 1 45 0.1, PA = 0.1, PB = 0.3, PAB = 0.5 , PA # ,PB # PAB PAB = Ha: Po Ha: Po 0.1, PA ‡ 0.1, PB ‡ 0.3, PAB # 0.5 32 Ha: Po 145 At least one of the proportions is different. = 45 145 1 48 PAB # 48 145 48 145 .01. Round

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
A researcher believes that among the residents of a remote community, 10% have type O blood, 10% have
type A blood, 30% have type B blood and 50% have type AB blood. She takes a random sample of 145
residents and finds that 32 had type O blood, 20 had type A blood, 45 had type B blood and 48 had type AB
blood.
Do the data follow the hypothesized distribution of blood type for this community? Test at a = .01. Round
your answers to three decimal places, if necessary.
Null hypothesis:
X
O Ho:po=
X
Ho: Po
=
=
32
145
1
32
2
" PA
PA
=
=
=
20
145
1
20
Ho: Po = PA = PB = PAB
Ho: Po = 0.1, Pa
, PA ‡
"
PB
PB
PA ‡ PB ‡ PAB
=
=
1
1
4
0.1, PB = 0.3, PAB
1
4
45
145
45
, PAB
20
-, PB #
145
, PAB
Alternative hypothesis:
O Ha: Po
Ha: Po
0.1, PA ‡ 0.1, PB ‡ 0.3, PAB ‡ 0.5
32
Ha:po
45
145
145
At least one of the proportions is different.
=
-
1
48
0.5
PAB #
48
145
48
145
Transcribed Image Text:A researcher believes that among the residents of a remote community, 10% have type O blood, 10% have type A blood, 30% have type B blood and 50% have type AB blood. She takes a random sample of 145 residents and finds that 32 had type O blood, 20 had type A blood, 45 had type B blood and 48 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .01. Round your answers to three decimal places, if necessary. Null hypothesis: X O Ho:po= X Ho: Po = = 32 145 1 32 2 " PA PA = = = 20 145 1 20 Ho: Po = PA = PB = PAB Ho: Po = 0.1, Pa , PA ‡ " PB PB PA ‡ PB ‡ PAB = = 1 1 4 0.1, PB = 0.3, PAB 1 4 45 145 45 , PAB 20 -, PB # 145 , PAB Alternative hypothesis: O Ha: Po Ha: Po 0.1, PA ‡ 0.1, PB ‡ 0.3, PAB ‡ 0.5 32 Ha:po 45 145 145 At least one of the proportions is different. = - 1 48 0.5 PAB # 48 145 48 145
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