When asked whether marriage is becoming obsolete, 720 out of 2058 randomly selected adults answering a particular survey said yes. We are testing the hypothesis that the population proportion that believes marriage is becoming obsolete is more than 33% using a significance level of 0.05. One of the following figures is correct. Indicate which graph matches the alternative hypothesis, p > 0.33. Report and interpret the correct p-value. Choose the correct graph below. A. z = 1.9155 p = 0.0277 B. Z=1.9155 p=0.9723 Because the p-value is less than the significance level, reject evidence to conclude that the population proportion is greater than C. z = 1.9155 p = 0.0554 O the null hypothesis. There is sufficient (Type an integer or a decimal. Do not round.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Hypothesis Testing Example**

When asked whether marriage is becoming obsolete, 720 out of 2058 randomly selected adults responded "yes" in a survey. We are testing the hypothesis that the population proportion that believes marriage is becoming obsolete is more than 33%, using a significance level of 0.05. One of the following figures is correct. Indicate which graph matches the alternative hypothesis, \( p > 0.33 \). Report and interpret the correct p-value.

---

**Choose the correct graph below.**

- **Option A:**
  - **Graph:** Bell-shaped normal distribution curve, right-tailed test
  - **z = 1.9155**
  - **p = 0.0277** (shaded area on the right tail)

- **Option B:**
  - **Graph:** Bell-shaped normal distribution curve, two-tailed test
  - **z = 1.9155**
  - **p = 0.9723** (both tails shaded)

- **Option C:**
  - **Graph:** Bell-shaped normal distribution curve, right-tailed test
  - **z = 1.9155**
  - **p = 0.0554** (shaded area on the right tail)

---

**Conclusion:**

Because the p-value is **less than** the significance level, **reject** the null hypothesis. There **is** sufficient evidence to conclude that the population proportion **is greater than** 0.33.
Transcribed Image Text:**Hypothesis Testing Example** When asked whether marriage is becoming obsolete, 720 out of 2058 randomly selected adults responded "yes" in a survey. We are testing the hypothesis that the population proportion that believes marriage is becoming obsolete is more than 33%, using a significance level of 0.05. One of the following figures is correct. Indicate which graph matches the alternative hypothesis, \( p > 0.33 \). Report and interpret the correct p-value. --- **Choose the correct graph below.** - **Option A:** - **Graph:** Bell-shaped normal distribution curve, right-tailed test - **z = 1.9155** - **p = 0.0277** (shaded area on the right tail) - **Option B:** - **Graph:** Bell-shaped normal distribution curve, two-tailed test - **z = 1.9155** - **p = 0.9723** (both tails shaded) - **Option C:** - **Graph:** Bell-shaped normal distribution curve, right-tailed test - **z = 1.9155** - **p = 0.0554** (shaded area on the right tail) --- **Conclusion:** Because the p-value is **less than** the significance level, **reject** the null hypothesis. There **is** sufficient evidence to conclude that the population proportion **is greater than** 0.33.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE 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