# suppose that a coke/pepsi survey was conducted of 40 randomly selected individuals from gainesville. thirty people selected coke. which of the following statements correctly describes how the confidence interval for the population proportion of people that prefer coke should be computed?

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## Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke. Which of the following statements correctly describes how the confidence interval for the population proportion of people tha

Answer to: Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke. Which...

Binomial proportion confidence interval

## Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from...

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## Question:

Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke. Which of the following statements correctly describes how the confidence interval for the population proportion of people that prefer Coke should be computed?

A. There are not 15 successes and 15 failures. A confidence interval can not be done.

B. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.

C. There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (

^ p ± z ∗ √ p ∗ ( 1 − p ) / n p^±z∗p∗(1−p)/n

) with no additional values added.

D. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

## Conditions for Confidence Interval:

To build a confidence interval, one must have a large sample so that the normality in the data can be assumed. It is also required that the data values should be random and independent of each other.

## Answer and Explanation:

**Given:**

Sample size, n = 40

Number of people preferred coke, x = 30

Number of successes (people preferred coke) = 30 > 15

Number of failures (people not preferred coke) = 40-30 = 10 < 15

Since the number of successes is more than 15 but failures are less than 15. It means we cannot assume the normality in the data and thus cannot make the interval with this interval.

However, we can approximate the distribution by adding 2 successes and 2 failures in the observed data to get some normality effect.

Therefore, the correct option is **D. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.**

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### Learn more about this topic:

Finding Confidence Intervals for Proportions: Formula & Example

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Chapter 9 / Lesson 8

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Confidence intervals for proportions can be identified by combining the point estimate and the margin of error. Examine the formulas used in example problems to learn to calculate confidence intervals for proportions.

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## Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville.

Correct ✅ answer ✅ - Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke. Which

Mathematics, 15.06.2020 22:57 googoo4

Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke. Which of the following statements correctly describes how the confidence interval for the population proportion of people that prefer Coke should be computed? a. There are not 15 successes and 15 failures. A confidence interval can not be done.b. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

c. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.

d. There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed with no additional value.

## Answers

Answer from: Kira4585

SHOW ANSWER yo

Step-by-step explanation:yo

Thanks Useless (2) Answer from: Quest SHOW ANSWER it shoild be o

step-by-step explanation:

Answer from: Quest SHOW ANSWER e^-kt = n/n0 = 0.79 -kt = ln 0.79

t = - ln 0.79/0.0001

= 2357 years

step-by-step explanation:

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## Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke

Answer:yoStep-by-step explanation:yo

nlexa [21] 1 year ago 15

## Suppose that a Coke/Pepsi survey was conducted of 40 randomly selected individuals from Gainesville. Thirty people selected Coke

. Which of the following statements correctly describes how the confidence interval for the population proportion of people that prefer Coke should be computed?

a. There are not 15 successes and 15 failures. A confidence interval can not be done.

b. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

c. There are not 15 successes and 15 failures. A confidence interval can be computed by adding 4 successes and 5 failures.

d. There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed with no additional value.

Mathematics 1 answer:

Aleksandr-060686 [28]1 year ago

4 0 Answer:yo

Step-by-step explanation:yo

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