Suppose that a chewing gum company claims that 85% of dentists recommend their chewing gum. Odina wants to test if this is true. She surveys 132 dentists. 1. Assuming the chewing gum company's claim is true, what is the probability that fewer than 78% of the dentists surveyed recommend the chewing gum? 2. If Odina does find that fewer than 78% of the dentists surveyed recommend the chewing gum, would you doubt the chewing gum company's claim? Why or why not? (Consider this question on your own. You do not have to provide an answer here.)
Suppose that a chewing gum company claims that 85% of dentists recommend their chewing gum. Odina wants to test if this is true. She surveys 132 dentists. 1. Assuming the chewing gum company's claim is true, what is the probability that fewer than 78% of the dentists surveyed recommend the chewing gum? 2. If Odina does find that fewer than 78% of the dentists surveyed recommend the chewing gum, would you doubt the chewing gum company's claim? Why or why not? (Consider this question on your own. You do not have to provide an answer here.)
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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Transcribed Image Text:**Title: Analyzing Dental Recommendations of Chewing Gum**
**Problem Statement:**
A chewing gum company asserts that 85% of dentists recommend their product. A researcher, Odina, aims to verify this claim by conducting a survey of 132 dentists.
**Questions for Consideration:**
1. **Statistical Probability**:
- Assuming the company's claim is true (85% approval), what is the likelihood that less than 78% of the dentists surveyed will recommend the chewing gum?
_(Provide your calculation and reasoning in the space above)_
2. **Evaluating Findings**:
- If Odina discovers that fewer than 78% of the surveyed dentists recommend the chewing gum, should this cast doubt on the company's claim?
- Discuss your reasoning and whether the new data justifies skepticism about the company's claim. You are encouraged to reflect on this scenario independently and are not required to submit a response.
This exercise encourages critical thinking about statistical claims and their implications.
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