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

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event