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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
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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**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.
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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