Amarketing 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 proportion0.55standard error of sample proportion0.03518z test statistic1.4213p-value0.07761 1- 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.2- how many customers out of the 200 sampled must have favored coke in this case? 3- using a 5% significance level, can the marketing consultant conclude that the proportion of customers who prefer coca-cola exceeds 50%? explain your answer.4- if you were to use a 1% significance level, would the conclusion from part c change? explain your answer.

1) test is one tail hypothesis test.

2) 110 sampled customers must have favored Coke.

3) at 5% significance, We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.

4) at 1% significance level, the conclusion would not change.

Step-by-step explanation:

1) Let p be the proportion of customers who prefer Coke to other brands

Since the alternative hypothesis claims p more than 0.50, this test is one tail hypothesis test.

2) Out of a random sample of 200 consumers, 55% favored Coca-Cola over other brands. Thus 200 × 0.55 = 110 sampled customers must have favored Coke.

3) at 5% significance level, p-value =0.07761 >0.05, therefore we fail to reject the null hypothesis. We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.

4) at 1% significance level,  p-value =0.07761 >0.01, thus the conclusion does not change

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

it has the same slope and a different y-intercept

hope this : )