$MathMaster logo$

MathMaster

Home
general
suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones i

Question

Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.65. How many customers should the company survey in order to be 94% confident that the margin of error is 0.22 for the confidence interval of true proportion of customers who click on ads on their smartphones? Answer: (Round up your answer to nearest whole number,do not include any decimals)

Brand: MathMaster
Rating: 4.9 (56 reviews)

likes

282 views

Answer to a math question Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.65. How many customers should the company survey in order to be 94% confident that the margin of error is 0.22 for the confidence interval of true proportion of customers who click on ads on their smartphones? Answer: (Round up your answer to nearest whole number,do not include any decimals)

$Expert avatar$

Andrea

4.5

75 Answers

n = \left( \dfrac{Z_{\alpha/2} \sqrt{p (1-p)}}{E} \right)^2

Plug in the values:

p = 0.65

E = 0.22

94% confidence level gives

Z_{\alpha/2} \approx 1.88

n = \left( \dfrac{1.88 \sqrt{0.65 \cdot (1-0.65)}}{0.22} \right)^2

Simplify the square root:

n = \left( \dfrac{1.88 \sqrt{0.65 \cdot 0.35}}{0.22} \right)^2

\sqrt{0.2275} \approx 0.477

n = \left( \dfrac{1.88 \cdot 0.477}{0.22} \right)^2

\dfrac{1.88 \cdot 0.477}{0.22} \approx 4.075

(4.075)^2 \approx 16.60

Round up:

n \approx 17

Answer:

n = 17

Frequently asked questions (FAQs)

Math question: Given a triangle ABC, if the angle bisector of angle B intersects the side AC at point D, and AD = 6 cm, find the length of DC.

What is the derivative of the function f(x) = 3x² - 4x + 2?

Question: How many different ways can 5 students be arranged in a line for a class photo?

New questions in Mathematics

431414-1*(11111-1)-4*(5*3)

The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?

1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method

An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.

224 × (6÷8)

In a normally distributed data set a mean of 31 where 95% of the data fall between 27.4 and 34.6, what would be the standard deviation of that data set?

Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …

The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers

How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.

The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is

12(3+7)-5

v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.

7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.

In an audience of 4000 people, 2 people are chosen, at random, to appear on stage. How many ways can the people be chosen?

(2m+3)(4m+3)=0

(a) List the set of possible rational zeros of the polynomial function F(x) = 2x3 - 11x2 + 13x - 4. (b) Find all rational zeros of F(x). Only do part B

2X+2=8

A psychologist is investigating the levels of test anxiety in various university courses. Anxiety is measured on a scale ranging from 0 to 100, where 0 indicates the complete absence of anxiety and 100 represents an extreme level of anxiety. From the data obtained, it has been discovered that the psychology score is triple that of nursing, and in turn, the latter has a score 10 points lower than the nutrition major. Furthermore, the score in the veterinary degree is 15 points higher than that of nutrition. Finally, if we add the scores of all the races, we will obtain a total of 173 points. Pose the equation that represents the situation described in the previous problem and determine: What is the score that psychology obtained regarding its anxiety level before the exams?

Let I be an interval and let f : I → R be a continuous function such that f(I) ⊂ Q. Show (in symbols) that f is constant.

Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.

You might be interested in