A marketing research consultant hired by Coca-Cola is interested in determining if the proportion of customers who prefer Coke to other brands is over 50%. A random sample of 200 consumers was selected from the market under investigation, 55% favored Coca-Cola over other brands. Additional information is presented below.

Sample proportion 0.55Standard error of sample proportion 0.03518Z test statistic 1.4213p-value 0.07761

If you were to conduct a hypothesis test to determine if greater than 50% of customers prefer Coca-Cola to other brands, would you conduct a one-tail or a two-tail hypothesis test? Explain your answer.

A one-tailed hypothesis will be used to perform the test.

Step-by-step explanation:

The purpose of the marketing research consultant hired by Coca-Cola is to determine whether the the proportion of customers who prefer Coke to other brands is over 50%.

The marketing research consultant selected a random sample of n = 200 customers. The sample proportion of people who favored Coca-Cola over other brands was 55%.

The marketing research consultant can perform a single proportion hypothesis test to determine whether greater than 50% of customers prefer Coca-Cola to other brands.

Since we need to determine whether the population percentage is greater than a null value, the hypothesis is not two-tailed.

The hypothesis can be defined as:

H₀: The proportion of people who favor Coca-Cola over other brands was 55%, i.e. p = 0.50.

Hₐ: The proportion of people who favor Coca-Cola over other brands was more than 55%, i.e. p > 0.50.

Thus, a one-tailed hypothesis will be used to perform the test.

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!