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State the appropriate null and alternative hypotheses. Ho: P 0.40 Ha: P = 0.40 Ho: P = 0.40 Ha: p > 0.40 Ho: P = 0.40 Ha: P < 0.40 Ho: P = 0.40 Ha: P = 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.) z = P-value= State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. Would your conclusion have been different if a significance level of 0.05 had been used? Yes No

State the appropriate null and alternative hypotheses. Ho: P 0.40 Ha: P = 0.40 Ho: P = 0.40 Ha: p > 0.40 Ho: P = 0.40 Ha: P < 0.40 Ho: P = 0.40 Ha: P = 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.) z = P-value= State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. Would your conclusion have been different if a significance level of 0.05 had been used? Yes No

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 Donation Data** A random sample of 146 recent donations at a certain blood bank reveals that 82 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. **State the appropriate null and alternative hypotheses.** - \( H_0: p = 0.40 \) - \( H_a: p \neq 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p > 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p < 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p \neq 0.40 \) **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.) - \( z = \) [Input field for user's calculation] - \( P\text{-value} = \) [Input field for user's calculation] **State the conclusion in the problem context.** - ○ Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. **Would your conclusion have been different if a significance level of 0.05 had been used?** - ○ Yes - ○ No
Transcribed Image Text:**Hypothesis Testing for Blood Donation Data** A random sample of 146 recent donations at a certain blood bank reveals that 82 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. **State the appropriate null and alternative hypotheses.** - \( H_0: p = 0.40 \) - \( H_a: p \neq 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p > 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p < 0.40 \) - \( H_0: p = 0.40 \) - \( H_a: p \neq 0.40 \) **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.) - \( z = \) [Input field for user's calculation] - \( P\text{-value} = \) [Input field for user's calculation] **State the conclusion in the problem context.** - ○ Do not reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Do not reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Reject the null hypothesis. There is sufficient evidence to conclude that the percentage of type A donations differs from 40%. - ○ Reject the null hypothesis. There is not sufficient evidence to conclude that the percentage of type A donations differs from 40%. **Would your conclusion have been different if a significance level of 0.05 had been used?** - ○ Yes - ○ No
Expert Solution
Step 1

It is given that 

Population proportion, p = 40% = 0.40

Favourable cases, X = 82

Sample size, n = 146

 

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