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...


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 518 ​(88​%) of B2B and 246​(59​%) of B2C marketers commonly use a business social media tool. The study also revealed that 301​(51​%) of B2B marketers and 248​(59​%) of B2C marketers commonly use a video social media tool. Suppose the survey was based on 590 B2B marketers and 420


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



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.H0​:π1=π2 H1​: π1≠π2





BH0​:π1≥π2 H1​:π1<>





C.H0​:π1≤π2 H1​:π1>π2





D.H0​:π1≠π2 H1​:π1=π2



Part 2

Determine the test​ statistic,
ZSTAT.




ZSTAT=enter your response here


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

Part 3

Find the rejection region. Select the correct choice below and fill in the answer​ box(es) to complete your choice.


​(Round to three decimal places as​ needed.)







A.



ZSTAT>+enter your response here







B.



ZSTAT<−enter your="" response="">

or
ZSTAT>+







C.



ZSTAT<>







Determine a conclusion.








Reject

Do not reject




the null hypothesis. There





is insufficient evidence

is evidence




of a difference between B2B marketers and B2C marketers in the proportion of the business social media tool.

Part 5

b. Find the​ p-value in​ (a) and interpret its meaning.



​p-value=enter your response here


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

Part 6

Interpret the​ p-value.


If the proportion of B2B marketers that use the business social media tool





is less than

is greater than

is equal to




the proportion of B2C marketers that use the business social media​ tool, the probability that a
ZSTAT

test statistic





is greater than

is equal to

is less than




the one calculated is approximately equal to the​ p-value.

Part 7

c. At the 0.05 level of​ significance, is there evidence of a difference between B2B marketers and B2C marketers in the proportion that use the video social media​ tool?


Let population 1 correspond to B2B marketers and population 2 correspond to B2C marketers. Determine the test​ statistic,
ZSTAT.




ZSTAT=


Part 8

Determine the​ p-value.



​p-value=enter your response here


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

Part 9

Determine a conclusion.








Do not reject/Reject the null hypothesis. There





▼ is insufficient evidence/is evidence of a difference between B2B marketers and B2C marketers in the proportion of the video social media tool.


Jun 08, 2022
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