A random sample of 154 recent donations at a certain blood bank reveals that 87 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. LAUSE SALT State the appropriate null and alternative hypotheses. OH₂D-0.40 M₂: P > 0.40 OM₂: P = 0.40 M: P-0.40 OM: P-0.40 H₂: P < 0.40 ⒸH₂: P-0.40 H₂:D 0.40 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value=
A random sample of 154 recent donations at a certain blood bank reveals that 87 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01. LAUSE SALT State the appropriate null and alternative hypotheses. OH₂D-0.40 M₂: P > 0.40 OM₂: P = 0.40 M: P-0.40 OM: P-0.40 H₂: P < 0.40 ⒸH₂: P-0.40 H₂:D 0.40 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value=
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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Q14. Please answer the fill-ins.
![**Hypothesis Testing for Blood Donations**
A random sample of 154 recent donations at a certain blood bank reveals that 87 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01.
### Step 1: State the Null and Alternative Hypotheses
Select the appropriate null and alternative hypotheses:
- **H₀: p = 0.40**
- **H₁: p ≠ 0.40**
This option is selected among the given ones, indicating a two-tailed test where the null hypothesis \( H_0 \) assumes the proportion of type A blood donations is 40%, and the alternative hypothesis \( H_1 \) assumes it is not equal to 40%.
### Step 2: Calculate the Test Statistic and Determine the P-Value
1. **Calculate the test statistic (z):**
- Use the formula for the test statistic in a proportion hypothesis test.
2. **Determine the P-value:**
- The P-value will tell us whether the observed sample proportion is significantly different from the population proportion.
**Enter the values:**
- **z =** [Input the calculated value rounded to two decimal places]
- **P-value =** [Input the calculated P-value rounded to four decimal places]
This example demonstrates how to perform a hypothesis test to check if the proportion of a certain type of blood donation deviates from a known population proportion at a specified significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18694516-cac0-450c-bfd2-4a4488b9c5fd%2Faf2d07d0-ecbf-4799-b1f4-558761bf2350%2Fi7zledt_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Blood Donations**
A random sample of 154 recent donations at a certain blood bank reveals that 87 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of 0.01.
### Step 1: State the Null and Alternative Hypotheses
Select the appropriate null and alternative hypotheses:
- **H₀: p = 0.40**
- **H₁: p ≠ 0.40**
This option is selected among the given ones, indicating a two-tailed test where the null hypothesis \( H_0 \) assumes the proportion of type A blood donations is 40%, and the alternative hypothesis \( H_1 \) assumes it is not equal to 40%.
### Step 2: Calculate the Test Statistic and Determine the P-Value
1. **Calculate the test statistic (z):**
- Use the formula for the test statistic in a proportion hypothesis test.
2. **Determine the P-value:**
- The P-value will tell us whether the observed sample proportion is significantly different from the population proportion.
**Enter the values:**
- **z =** [Input the calculated value rounded to two decimal places]
- **P-value =** [Input the calculated P-value rounded to four decimal places]
This example demonstrates how to perform a hypothesis test to check if the proportion of a certain type of blood donation deviates from a known population proportion at a specified significance level.
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