Answered: %) of B2B and 246(59%) of B2C…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

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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 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<π2

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.)

ZSTAT>+enter your response here

ZSTAT<−enter your response here

ZSTAT>+

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=