Question

Are soft drink preferences regional? In an effort to find out, a market researcher surveyed 150 consumers in Birmingham and found that 96 listed Coca-Cola has their preferred soft drink. The researcher also surveyed 150 consumers in Denver and found that 82 indicated that Coca-Cola was their preferred soft drink.

Let p_B be the population proportion of all Birmingham consumers who prefer Coca-Cola.

Let p_D be the population proportion of all Denver consumers who prefer Coca-Cola.

What is the value of the test statistic used to evaluate the null hypothesis:

H₀: p_B - p_D = 0

Round your answer to 2 decimal places.

Answer 1

Answer:

n1 = 150, x1 = 96

n2 = 150, x2 =  82

Calculate the test statistic

z = 1.646

the test statistic is = 1.65