A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po= 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 80 1 Ho: Po = Ho: Po = Type O -8 Alternative hypothesis: Ha: Po 20 20 PA = 1 Ho: Po = PA = PB = PAB = 4 Type O › PA = 24 0.667 Complete the table of observed counts: 40 80 1 40 PA #PB = PAB = 40 Ha: po 20 80' PA # Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Type A 40 ,PB = PB = Type A What is the test statistic? 2.667 40 PB # 80' Type A 0 1 2612 80 What is the critical value for this test? > How many degrees of freedom are there? 3 > Complete the table of expected counts under the null hypothesis: 12 8 80 80 0.1, PAB # 0.1 PAB = 2 PAB = 2.000 Type B PAB # 12 8 Type B 8 80 1 8 Using your previous answers, complete the table of contributions to the test statistic: Hint: Think about the formula for the test-statistic for a goodness of fit test. Type 0 Type B 8 Type AB Type AB 8 Type AB 0 Using your answer from the previous questions, find the p-value. 0.0446 Enter an integer or decimal number, accurate to at least 3 decimal places [more..] ▼ Part 2 of 5 Part 3 of 5 Part 4 of 5
A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po= 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 80 1 Ho: Po = Ho: Po = Type O -8 Alternative hypothesis: Ha: Po 20 20 PA = 1 Ho: Po = PA = PB = PAB = 4 Type O › PA = 24 0.667 Complete the table of observed counts: 40 80 1 40 PA #PB = PAB = 40 Ha: po 20 80' PA # Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Type A 40 ,PB = PB = Type A What is the test statistic? 2.667 40 PB # 80' Type A 0 1 2612 80 What is the critical value for this test? > How many degrees of freedom are there? 3 > Complete the table of expected counts under the null hypothesis: 12 8 80 80 0.1, PAB # 0.1 PAB = 2 PAB = 2.000 Type B PAB # 12 8 Type B 8 80 1 8 Using your previous answers, complete the table of contributions to the test statistic: Hint: Think about the formula for the test-statistic for a goodness of fit test. Type 0 Type B 8 Type AB Type AB 8 Type AB 0 Using your answer from the previous questions, find the p-value. 0.0446 Enter an integer or decimal number, accurate to at least 3 decimal places [more..] ▼ Part 2 of 5 Part 3 of 5 Part 4 of 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have
type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80
residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB
blood.
Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round
your answers to three decimal places, if necessary.
Null hypothesis:
Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1
20
40
12
8
80
80
80
80
1
1
1
20
40
8
Ho: Po =
Ho: Po =
Alternative hypothesis:
Ho: Po = PA = PB = PAB =
Ha: po #
Type O
1
Ha: Po PA PB = PAB =
4
20
› PA =
PA =
Type 0
20
24
40
80
80
Ha: Po 0.3, PA # 0.5, PB
At least one of the proportions is different.
Complete the table of observed counts:
Type O
, PA #
0.667
Type A
PB =
PB =
40
Type A
40
What is the test statistic?
2.667
1
,PB #
0
, PAB =
1
12¹ PAB
Complete the table of expected counts under the null hypothesis:
12
80
0.1, PAB = 0.1
What is the critical value for this test?
How many degrees of freedom are there?
3
3
Type B
12
PAB #
=
Type B
8
2.000
8
80
Using your previous answers, complete the table of contributions to the test statistic:
Hint: Think about the formula for the test-statistic for a goodness of fit test.
Type A
Type B
8
Type AB
Type AB
8
Type AB
0
Using your answer from the previous questions, find the p-value.
0.0446
Enter an integer or decimal number, accurate to at least 3 decimal places [more..]
▼ Part 2 of 5
▼ Part 3 of 5
Part 4 of 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56888ea7-2c48-4c08-b7fb-3bfa96ffdacf%2Ff3bfc834-089d-47fc-b004-494325796b6e%2Fkdj4wog_processed.png&w=3840&q=75)
Transcribed Image Text:A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have
type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80
residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB
blood.
Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round
your answers to three decimal places, if necessary.
Null hypothesis:
Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1
20
40
12
8
80
80
80
80
1
1
1
20
40
8
Ho: Po =
Ho: Po =
Alternative hypothesis:
Ho: Po = PA = PB = PAB =
Ha: po #
Type O
1
Ha: Po PA PB = PAB =
4
20
› PA =
PA =
Type 0
20
24
40
80
80
Ha: Po 0.3, PA # 0.5, PB
At least one of the proportions is different.
Complete the table of observed counts:
Type O
, PA #
0.667
Type A
PB =
PB =
40
Type A
40
What is the test statistic?
2.667
1
,PB #
0
, PAB =
1
12¹ PAB
Complete the table of expected counts under the null hypothesis:
12
80
0.1, PAB = 0.1
What is the critical value for this test?
How many degrees of freedom are there?
3
3
Type B
12
PAB #
=
Type B
8
2.000
8
80
Using your previous answers, complete the table of contributions to the test statistic:
Hint: Think about the formula for the test-statistic for a goodness of fit test.
Type A
Type B
8
Type AB
Type AB
8
Type AB
0
Using your answer from the previous questions, find the p-value.
0.0446
Enter an integer or decimal number, accurate to at least 3 decimal places [more..]
▼ Part 2 of 5
▼ Part 3 of 5
Part 4 of 5
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