A recent survey reported that small businesses spend 20 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 20 hours a week on marketing. The chamber conducts a survey of 83 small businesses within their state and finds that the average amount of time spent on marketing is 19.1 hours a week. Assuming that the population standard deviation is 3.8 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.05 level of significance? Step 3 of 3 :   Draw a conclusion and interpret the decision.  A.We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing. B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.  C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing. D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A recent survey reported that small businesses spend 20 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 20 hours a week on marketing. The chamber conducts a survey of 83 small businesses within their state and finds that the average amount of time spent on marketing is 19.1 hours a week. Assuming that the population standard deviation is 3.8 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.05 level of significance?

Step 3 of 3 :  

Draw a conclusion and interpret the decision.

 A.We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.
B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.
 C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.
D. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the chamber’s claim that businesses are spending less than 20 hours a week on marketing.

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