A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions. Suppose a random sample of 1,100 consumers is taken and each is asked which of these three factors influence their buying decisions.

Answer:

Step-by-step explanation:

The question that follows the passage include:

[tex]\text{a. What is the probability that more than 810 consumers claim that how a company } \\ \\ \text { handles a crisis when at fault is an influence in their buying decisions?}[/tex][tex]\text{b. What is the probability that fewer than 1,030 consumers claim that quality} \\ \\ \text{ of product is an influence in their buying decisions?}[/tex]

From the given information:

the sample size = 1100

P = 73% = 0.73

Sample proportion [tex]\hat p = \dfrac{810}{1100} = 0.7364[/tex]

The Z test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.7364 - 0.73}{\sqrt{\dfrac{0.73(1-0.73)}{1100}}}[/tex]

[tex]Z = \dfrac{0.0064}{\sqrt{\dfrac{0.1971}{1100}}}[/tex]

[tex]Z =0.478[/tex]

a) Now the required probability of more than 810 claims is:

[tex]P(X> 810) = 1 - P(X<810) \\ \\ \implies 1 - ( X< 0.478) \\ \\ \implies 1 - 0.68367 \\ \\ = \mathbf{0.3163}[/tex]

b) The probability of less than 1030 consumers is:

Probability of quality product influencers = 96%  = 0.96

Sample proportion [tex]\hat p = \dfrac{1030}{1100}[/tex] = 0.9364

The Z test Statistics is:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.9364 - 0.96}{\sqrt{\dfrac{0.96(1-0.96)}{1100}}}[/tex]

[tex]Z = -3.994[/tex]

[tex]P(X < 1030) = 1 - P(3.99) \\ \\ \implies 1 - 0.99999669 \\ \\ \implies \mathbf{0.00003 }[/tex]

Answer this correctly and I will give u brainslist and this is worth 15 points

whats the answer a b c and d?

A pet shop is 10 dogs, 15 cats, 6 birds , and 4 snakes . What is the ratio of dogs to pets?​

Find the area of the figure below.

A pair of Sneakers cost $112 after it was marked up by 75%. How much
did it cost before the mark up?

Greatest common factor of 2x^3 and 5x

Select the statement that describes this expression: 5 x (3 + 4) − 4.

5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4

will give branlist

Question 3 (1 point)
(07.07)
Find the product of (x + 5)2. (1 point)
O a
x2 - 10x + 25
Ob
x² – 25
Oc
x2 + 25
Od
x2 + 10x + 25

PLS HELP AND ANSWER QUICK PLZ

Need help plzzzzzzz!!!!

a Carver begins work on the following block of granite that weighs 2700g what is the density of the granite ​

Two apples and six plums provide 300 calories. Three apples and five plums provide
350 calories. How many calories are provided by five apples and eight plum?

Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly rent? How much is her yearly rent?

Henry earned $558.40 for working 32 hours. What is Henry's hourly
wage? Round to the nearest cent.

what is the surface area of the rectangle prism below? HELP ME ASAP PLEASE !!

7. Round the following numbers off to the nearest 10
a) 34 555=
B)25332=
C)5=

Given: 7X/2 < 5. Choose the solution set. {x | x < 10/7} {x | x >10/7 } {x | x < 35/2} {x | x > 35/2}

d - 41 = 19

Choose the answer that shows what to do in the process step, and what the solution (answer is).

Question Options:

add 41; d = 60

subtract 41; d = 60

multiply by 41; d = 60

divide by 41; d = 60

The asking price for homes on the real estate market in Baltimore has a mean value of $286,455 and a standard deviation of $11,200. The mean and standard deviation in asking price for homes in Denver are $188,468 and $8,230, respectively. Recently, one home sold in each city where the asking price for each home was $193,000. Assuming that both distributions are bell-shaped, which of the following statements is true?
A) The Deriver home has a higher standard z-value.
B) The Baltimore home has the higher standard z-value.
C) Both cities have the same coefficient of variation
D) By The coefficient of variation for Denver is less than for Baltimore.
E) Boş bırak

GIVING OUT BRAINLIST QUICK! I CAN ONLY GIVE BRAINLIST IF 2 PEOPLE ANSWER!

Bryan has a collection of baseball cards which he shares equally with his brother, Jude. Bryan also received two cards from his friend, Gene. If Bryan has 8 baseball cards now, how many cards did he originally have in his collection?

Would you rather, $20 off your entire purchase or 20% off your entire purchase?
(I need at least 2 good reasons why, please help!) < 3

The main office staff collected 55 cans, the counseling staff collected 89 cans, and the custodial staff collected 67 cans.

answer dis please ill give brainliest

5. A trapezoid has a base of 20 inches and 30 Inches. The height of the trapezoid is 15
inches. What is the area of the Trapezoid in square inches?

what 2 two numbers multiply to -36 and add to 16

Looking for some help!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

The point (3, −5) is reflected over the x-axis. What are the coordinates of the new point? Group of answer choices

trigonometry find the missing side​

The base of a pyramid is a triangle with a base of 28 inches and a height of 21 inches. Determine the volume of the pyramid, if its height is 68 inches.

A) 3,528 cubic inches

B) 19,992 cubic inches

C) 13,328 cubic inches

D) 6,664 cubic inches