ANSWER PART G!!!!!!!!!!!!!!!!!! A survey indicates that 26% of consumers from a
ID: 3355531 • Letter: A
Question
ANSWER PART G!!!!!!!!!!!!!!!!!!
A survey indicates that 26% of consumers from a certain region are willing to spend extra for products and services from socially responsible companies. The researchers define these consumers as socially conscious consumers. According to one of the researchers, marketers need to know who these consumers are if they want to maximize the social and business return of their cause-marketing efforts. Suppose a sample of 100 consumers from the region is selected. If possible, use the normal distribution to approximate the sampling distribution of the proportion. Complete parts (a) through (g) below.
(Part A.) What is the probability that in the sample fewer than 26% are willing to spend extra for products and services from socially responsible companies? The probability is 50%.
(Part B.) What is the probability that in the sample between 21% and 31% are willing to spend extra for products and services from socially responsible companies? The probability is 74.58%.
(Part C.) What is the probability that in the sample more than 21% are willing to spend extra for products and services from socially responsible companies? The probability is 87.28%
(Part D.) If a sample of 400 is taken, what is the probability that in the sample fewer than 26% are willing to spend extra for products and services from socially responsible companies? The probability is 50%.
(Part E.) If a sample of 400 is taken, what is the probability that in the sample between 21% and 31% are willing to spend extra for products and services from socially responsible companies? The probability is 97.74%
(Part F.) If a sample of 400 is taken, what is the probability that in the sample more than 21% are willing to spend extra for products and services from socially responsible companies? The probability is 98.87%.
(Part G.) The answer to part a (increases, decreases, stays the same), the answer to part b (increases, decreases, stays the same), the answer to part c (increases, decreases, stays the same) because the probability distribution becomes more (uniform, peaked, symmetric, skewed) when the sample size increases.
Explanation / Answer
The answer to part a (stays the same),
the answer to part b (increases,),
the answer to part c (increases,)
because the probability distribution becomes more (symmetric) when the sample size increases.