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

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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.
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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