20) only the last part the options are Do not reject/ reject Is/is notSufficient/ insufficient **Title: Statistical Analysis of Corporate Acquisitions****Description:**A business journal conducted an investigation into the performance and timing of corporate acquisitions. They discovered that in a random sample of 2,780 firms, 690 firms announced one or more acquisitions during the year 2000. The goal was to determine if there is sufficient evidence to indicate that the true percentage of firms that announced one or more acquisitions during the year 2000 is less than 27%. A significance level (α) of 0.10 is used for decision-making.**Hypotheses for the Test:**- **H₀:** p = 0.27- **Hₐ:** p < 0.27 **Rejection Region:**The rejection region for the test is z < -1.28.**Calculation of the Z-statistic:**The value of the z-statistic for this test is calculated as:\[ z = -2.59 \](Rounded to two decimal places as required)**Conclusion of the Test:**The z-statistic of -2.59 falls within the rejection region. Therefore, the null hypothesis is rejected. This provides evidence at the 0.10 level of significance to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 27%.**Summary:**The test concluded that there is significant evidence to support the claim that fewer than 27% of firms announced acquisitions in the year 2000, based on the sample data provided.**Action:**Review the results and consider the implications of the findings for understanding the trends in corporate acquisitions during the year 2000.**Options:**- Click "Check Answer" to finalize the analysis.- Click "Clear All" to redo the calculations and conclusions.---**Annotation of Elements:**- **Hypothesis Options:** The image shows different possible hypotheses for the test.- **Rejection Region Options:** Displays the decision rule to identify if the null hypothesis can be rejected.- **Z-statistic Calculation:** Shows the calculated z-value used in determining the significance.- **Conclusion Section:** Instructs the reader how to interpret the statistical result and its significance.End of the analysis.

Name: 20) only the last part the options are Do not reject/ reject Is/is no
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Description: 20) only the last part the options are Do not reject/ reject Is/is notSufficient/ insufficient **Title: Statistical Analysis of Corporate Acquisitions****Description:**A business journal conducted an investigation into the performance and timing of

Solution: Let X be number of firms announced one or more acquisitions during the year 2000 and n be…

Math

Statistics

A business joumal investigau mance and timin of corporate acquisition Iscovered that in a random sample of 2,70 evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 27%? Use a = 0.10 to make your decision. What are the hypotheses for this test? O A. Ho: p<0.27 Hip= 0.27 OC. Ho: p#0.27 H, p=0.27 OB. Ho p= 0.27 H p>0.27 D. Ho: p=0.27 Ha:p<0.27 OF. Ho: p= 0.27 OE. Ho: p>0.27 H, ps0.27 H p40.27 What is the rejection region? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. z> VB. z< - 1.28 O C. z< or z> Calculate the value of the z-statistic for this test. z= -2.59 (Round to two decimal places as needed.) What is the conclusión of the test? V evidence at the 0.10 level of significance to indicate that the true percentage of all firms that announced one or more in the rejection region. Therefore, there is V the null hypothesis because the test statistic acquisitions during the year 2000 is less than 27%.

A business joumal investigau mance and timin of corporate acquisition Iscovered that in a random sample of 2,70 evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 27%? Use a = 0.10 to make your decision. What are the hypotheses for this test? O A. Ho: p<0.27 Hip= 0.27 OC. Ho: p#0.27 H, p=0.27 OB. Ho p= 0.27 H p>0.27 D. Ho: p=0.27 Ha:p<0.27 OF. Ho: p= 0.27 OE. Ho: p>0.27 H, ps0.27 H p40.27 What is the rejection region? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. z> VB. z< - 1.28 O C. z< or z> Calculate the value of the z-statistic for this test. z= -2.59 (Round to two decimal places as needed.) What is the conclusión of the test? V evidence at the 0.10 level of significance to indicate that the true percentage of all firms that announced one or more in the rejection region. Therefore, there is V the null hypothesis because the test statistic acquisitions during the year 2000 is less than 27%.

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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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

20) only the last part the options are Do not reject/ reject Is/is not Sufficient/ insufficient

**Title: Statistical Analysis of Corporate Acquisitions**

**Description:**
A business journal conducted an investigation into the performance and timing of corporate acquisitions. They discovered that in a random sample of 2,780 firms, 690 firms announced one or more acquisitions during the year 2000. The goal was to determine if there is sufficient evidence to indicate that the true percentage of firms that announced one or more acquisitions during the year 2000 is less than 27%. A significance level (α) of 0.10 is used for decision-making.

**Hypotheses for the Test:**
- **H₀:** p = 0.27
- **Hₐ:** p < 0.27

**Rejection Region:**
The rejection region for the test is z < -1.28.

**Calculation of the Z-statistic:**
The value of the z-statistic for this test is calculated as:

\[ z = -2.59 \]

(Rounded to two decimal places as required)

**Conclusion of the Test:**
The z-statistic of -2.59 falls within the rejection region. Therefore, the null hypothesis is rejected. This provides evidence at the 0.10 level of significance to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 27%.

**Summary:**
The test concluded that there is significant evidence to support the claim that fewer than 27% of firms announced acquisitions in the year 2000, based on the sample data provided.

**Action:**
Review the results and consider the implications of the findings for understanding the trends in corporate acquisitions during the year 2000.

**Options:**
- Click "Check Answer" to finalize the analysis.
- Click "Clear All" to redo the calculations and conclusions.

---

**Annotation of Elements:**
- **Hypothesis Options:** The image shows different possible hypotheses for the test.
- **Rejection Region Options:** Displays the decision rule to identify if the null hypothesis can be rejected.
- **Z-statistic Calculation:** Shows the calculated z-value used in determining the significance.
- **Conclusion Section:** Instructs the reader how to interpret the statistical result and its significance.

End of the analysis.

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