Homework Help is Here – Start Your Trial Now!
Math
Statistics
Please review Section 9.3. A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screen shots. a = 0.05 H:us 70 H, :µ > 70 Find the test statistic: (Round to two decimal places as needed.) Find the p-value: (Round to two decimal places as needed.) State the conclusion:

Please review Section 9.3. A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screen shots. a = 0.05 H:us 70 H, :µ > 70 Find the test statistic: (Round to two decimal places as needed.) Find the p-value: (Round to two decimal places as needed.) State the conclusion:

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
See similar textbooks
icon
Related questions
Question
**Hypothesis Testing in Nonprofit Fundraising** A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screenshots. - **Significance Level**: \( \alpha = 0.05 \) - **Null Hypothesis (H₀)**: \( \mu \leq 70 \) - **Alternative Hypothesis (H₁)**: \( \mu > 70 \) **Steps to Perform the Hypothesis Test:** 1. **Find the Test Statistic**: - [Blank for students to fill in the test statistic] - (Round to two decimal places as needed.) 2. **Find the p-value**: - [Blank for students to fill in the p-value] - (Round to two decimal places as needed.) 3. **State the Conclusion**: - [Blank for students to write their conclusion based on the test statistic and p-value] --- This exercise guides students through a hypothesis test to determine if the mean one-time donation has increased. By comparing the test statistic to a critical value, or by comparing the p-value to the significance level, students can conclude whether to reject or fail to reject the null hypothesis.
Transcribed Image Text:**Hypothesis Testing in Nonprofit Fundraising** A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screenshots. - **Significance Level**: \( \alpha = 0.05 \) - **Null Hypothesis (H₀)**: \( \mu \leq 70 \) - **Alternative Hypothesis (H₁)**: \( \mu > 70 \) **Steps to Perform the Hypothesis Test:** 1. **Find the Test Statistic**: - [Blank for students to fill in the test statistic] - (Round to two decimal places as needed.) 2. **Find the p-value**: - [Blank for students to fill in the p-value] - (Round to two decimal places as needed.) 3. **State the Conclusion**: - [Blank for students to write their conclusion based on the test statistic and p-value] --- This exercise guides students through a hypothesis test to determine if the mean one-time donation has increased. By comparing the test statistic to a critical value, or by comparing the p-value to the significance level, students can conclude whether to reject or fail to reject the null hypothesis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS