Chris P. Bacon is the newly hired Director of Development at Nunya Business College. She hopes that her new lirect mail campaign for alumni donations will get more than 15% of the alumni to donate money to their alma mater. She decides to test the new campaign using a 5% significance level. She selected a random sample of 200 alumni, 38 alumni contributed money to the college. Research Question: Is there sufficient evidence to upport the idea that the new direct mail campaign will yield more than a 15% response rate? What test statistic should you use and why? (There are three basic one-sample hypothesis tests: 1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.) Based on the research question is this a left-tailed, two-tailed, or right-tailed test?
Chris P. Bacon is the newly hired Director of Development at Nunya Business College. She hopes that her new lirect mail campaign for alumni donations will get more than 15% of the alumni to donate money to their alma mater. She decides to test the new campaign using a 5% significance level. She selected a random sample of 200 alumni, 38 alumni contributed money to the college. Research Question: Is there sufficient evidence to upport the idea that the new direct mail campaign will yield more than a 15% response rate? What test statistic should you use and why? (There are three basic one-sample hypothesis tests: 1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.) Based on the research question is this a left-tailed, two-tailed, or right-tailed test?
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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Question
![**Step 1. Test Set-up**
Chris P. Bacon is the newly hired Director of Development at Nunya Business College. She hopes that her new direct mail campaign for alumni donations will get **more than 15%** of the alumni to donate money to their alma mater.
She decides to test the new campaign using a 5% significance level. She selected a random sample of 200 alumni, 38 alumni contributed money to the college. **Research Question:** Is there sufficient evidence to support the idea that the new direct mail campaign will yield more than a 15% response rate?
**What test statistic should you use and why?** (There are three basic one-sample hypothesis tests:
1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.)
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Based on the research question is this a left-tailed, two-tailed, or right-tailed test?**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Step 2. Select the Level of Significance, α**
A 5 percent significance level has been selected.
What is the Critical Value of Values of the Test Statistic? \[ \_\_\_\_\_\_\_\_\_\_ \]
**Step 3. State the null hypothesis (H₀) and alternate hypothesis (H₁)**
H₀: \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
H₁: \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Follow the examples shown in Clear-Sighted Statistics.** You must use the appropriate Greek letters and mathematical symbols.
\[
= \quad \neq \quad \leq \quad \ge](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51379d11-9770-48a3-990e-91e5895fb578%2F712fd97b-dc52-4b5f-aeca-dca7b2a6f4b5%2Ftscm4s_processed.png&w=3840&q=75)
Transcribed Image Text:**Step 1. Test Set-up**
Chris P. Bacon is the newly hired Director of Development at Nunya Business College. She hopes that her new direct mail campaign for alumni donations will get **more than 15%** of the alumni to donate money to their alma mater.
She decides to test the new campaign using a 5% significance level. She selected a random sample of 200 alumni, 38 alumni contributed money to the college. **Research Question:** Is there sufficient evidence to support the idea that the new direct mail campaign will yield more than a 15% response rate?
**What test statistic should you use and why?** (There are three basic one-sample hypothesis tests:
1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.)
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Based on the research question is this a left-tailed, two-tailed, or right-tailed test?**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Step 2. Select the Level of Significance, α**
A 5 percent significance level has been selected.
What is the Critical Value of Values of the Test Statistic? \[ \_\_\_\_\_\_\_\_\_\_ \]
**Step 3. State the null hypothesis (H₀) and alternate hypothesis (H₁)**
H₀: \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
H₁: \[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \]
**Follow the examples shown in Clear-Sighted Statistics.** You must use the appropriate Greek letters and mathematical symbols.
\[
= \quad \neq \quad \leq \quad \ge
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