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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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 \(\alpha = 0.01\). Round your answers to three decimal places, if necessary.
**Null hypothesis:**
1. \[ H_0: p_O = \frac{32}{145}, p_A = \frac{20}{145}, p_B = \frac{45}{145}, p_{AB} = \frac{48}{145} \]
2. \[ H_0: p_O = \frac{1}{32}, p_A = \frac{1}{20}, p_B = \frac{1}{45}, p_{AB} = \frac{1}{48} \] (selected option)
3. \[ H_0: p_O = p_A = p_B = p_{AB} = \frac{1}{4} \]
4. \[ H_0: p_O = 0.1, p_A = 0.1, p_B = 0.3, p_{AB} = 0.5 \]
**Alternative hypothesis:**
1. \[ H_a: p_O \neq p_A \neq p_B \neq p_{AB} = \frac{1}{4} \]
2. \[ H_a: p_O \neq 0.1, p_A \neq 0.1, p_B \neq 0.3, p_{AB} \neq 0.5 \]
3. \[ H_a: p_O \neq \frac{32}{145}, p_A \neq \frac{20}{145}, p_B \neq \frac{45}{145}, p_{AB} \neq \frac{48}{145} \] (selected option)
4. At least one of the proportions is different.
In this hypothesis test, options are presented for null and alternative hypotheses, with specific selections indicated for the researcher’s analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb0864ac-4fb9-4ba1-b362-b4881cf5cf3e%2F31c6c192-2d54-4a38-b76e-12a7602841b9%2F304uejpe_processed.png&w=3840&q=75)
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 \(\alpha = 0.01\). Round your answers to three decimal places, if necessary.
**Null hypothesis:**
1. \[ H_0: p_O = \frac{32}{145}, p_A = \frac{20}{145}, p_B = \frac{45}{145}, p_{AB} = \frac{48}{145} \]
2. \[ H_0: p_O = \frac{1}{32}, p_A = \frac{1}{20}, p_B = \frac{1}{45}, p_{AB} = \frac{1}{48} \] (selected option)
3. \[ H_0: p_O = p_A = p_B = p_{AB} = \frac{1}{4} \]
4. \[ H_0: p_O = 0.1, p_A = 0.1, p_B = 0.3, p_{AB} = 0.5 \]
**Alternative hypothesis:**
1. \[ H_a: p_O \neq p_A \neq p_B \neq p_{AB} = \frac{1}{4} \]
2. \[ H_a: p_O \neq 0.1, p_A \neq 0.1, p_B \neq 0.3, p_{AB} \neq 0.5 \]
3. \[ H_a: p_O \neq \frac{32}{145}, p_A \neq \frac{20}{145}, p_B \neq \frac{45}{145}, p_{AB} \neq \frac{48}{145} \] (selected option)
4. At least one of the proportions is different.
In this hypothesis test, options are presented for null and alternative hypotheses, with specific selections indicated for the researcher’s analysis.
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