In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a ne "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 51 of 400 persons now rate Pepsi as being "concerned with my health." Calculate the z statistic. (Round your answer to 3 decimal places.) Zcalc At a = .05, would a follow-up survey showing that 51 of 400 persons now rate Pepsi as being "concerned with my health" provide sufficient evidence that the percentage has increased? Yes No
In a recent survey, 10 percent of the participants rated Pepsi as being "concerned with my health." PepsiCo's response included a ne "Smart Spot" symbol on its products that meet certain nutrition criteria, to help consumers who seek more healthful eating options. Suppose a follow-up survey shows that 51 of 400 persons now rate Pepsi as being "concerned with my health." Calculate the z statistic. (Round your answer to 3 decimal places.) Zcalc At a = .05, would a follow-up survey showing that 51 of 400 persons now rate Pepsi as being "concerned with my health" provide sufficient evidence that the percentage has increased? Yes No
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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![### Survey Analysis on Consumer Health Perception of Pepsi
#### Context:
In a recent survey, 10 percent of participants rated Pepsi as being "concerned with my health." In response, PepsiCo introduced a new "Smart Spot" symbol on its products, indicating they meet certain nutrition criteria to aid consumers seeking healthier options.
#### Follow-up Survey Results:
A follow-up survey revealed that 51 out of 400 individuals now view Pepsi as being "concerned with my health."
#### Statistical Analysis:
To assess whether this indicates a significant increase, we need to calculate the z statistic.
##### Instructions:
- **Calculate the z statistic:** (Ensure the answer is rounded to three decimal places.)
- \( z_{\text{calc}} \) [Input Box]
##### Hypothesis Testing:
At a significance level (\(\alpha\)) of 0.05, examine if the follow-up survey showing that 51 out of 400 individuals now rate Pepsi as being "concerned with my health" offers sufficient evidence of an increase in perception.
- **Is the increase statistically significant?**
- [ ] Yes
- [ ] No
This activity involves hypothesis testing to determine if the implemented changes by PepsiCo have statistically impacted consumer perception regarding their health concerns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62c5d8d4-bf52-40ff-9a64-70401b9ed938%2F0ae7ae51-6b96-4e67-a602-be348c46d187%2F9dgmv69_processed.png&w=3840&q=75)
Transcribed Image Text:### Survey Analysis on Consumer Health Perception of Pepsi
#### Context:
In a recent survey, 10 percent of participants rated Pepsi as being "concerned with my health." In response, PepsiCo introduced a new "Smart Spot" symbol on its products, indicating they meet certain nutrition criteria to aid consumers seeking healthier options.
#### Follow-up Survey Results:
A follow-up survey revealed that 51 out of 400 individuals now view Pepsi as being "concerned with my health."
#### Statistical Analysis:
To assess whether this indicates a significant increase, we need to calculate the z statistic.
##### Instructions:
- **Calculate the z statistic:** (Ensure the answer is rounded to three decimal places.)
- \( z_{\text{calc}} \) [Input Box]
##### Hypothesis Testing:
At a significance level (\(\alpha\)) of 0.05, examine if the follow-up survey showing that 51 out of 400 individuals now rate Pepsi as being "concerned with my health" offers sufficient evidence of an increase in perception.
- **Is the increase statistically significant?**
- [ ] Yes
- [ ] No
This activity involves hypothesis testing to determine if the implemented changes by PepsiCo have statistically impacted consumer perception regarding their health concerns.
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