Question

A survey was conducted of two types of marketers. The first type being marketers that focus primarily on attracting business​ (B2B), and the second type being marketers that primarily target consumers​ (B2C). It was reported that

510510

​(8686​%)

of B2B and

230230

​(5656​%)

of B2C marketers commonly use a business social media tool. The study also revealed that

302302

​(5151​%)

of B2B marketers and

250250

​(6161​%)

of B2C marketers commonly use a video social media tool. Suppose the survey was based on

595595

B2B marketers and

409409

B2C marketers. Complete parts​ (a) through​ (c) below.

a. At the 0.05 level of​ significance, is there evidence of a difference between B2B marketers and B2C marketers in the proportion that commonly use the business social media​ tool? Let population 1 correspond to B2B marketers and population 2 correspond to B2C marketers. Choose the correct null and alternative hypotheses below.

A.

Upper H 0H0​:

pi 1π1less than or equals≤pi 2π2

Upper H 1H1​:

pi 1π1greater than>pi 2π2

B.

Upper H 0H0​:

pi 1π1equals=pi 2π2

Upper H 1H1​:

pi 1π1not equals≠pi 2π2

Your answer is correct.

C.

Upper H 0H0​:

pi 1π1not equals≠pi 2π2

Upper H 1H1​:

pi 1π1equals=pi 2π2

D.

Upper H 0H0​:

pi 1π1greater than or equals≥pi 2π2

Upper H 1H1​:

pi 1π1less than<pi 2π2

Determine the test​ statistic,

Upper Z Subscript STATZSTAT.

Upper Z Subscript STATZSTATequals=nothing

​(Type an integer or a decimal. Round to two decimal places as​ needed.)

Answer 1

The statistical software output for this problem is:

Hence,

Hypotheses: Option B is correct.

Test statistic = 10.43