A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 80 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.4 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?   Step 3 of 3 : Draw a conclusion and interpret the decision.   1. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.   2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the chamber's  claim that businesses are spending less than 24 hours a week on marketing.   3. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.   4. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 80 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.4 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
 
Step 3 of 3 : Draw a conclusion and interpret the decision.
 
1. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.
 
2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the chamber's  claim that businesses are spending less than 24 hours a week on marketing.
 
3. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.
 
4. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the chamber's claim that businesses are spending less than 24 hours a week on marketing.
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