Question

A public health researcher wants to know whether a new tax that was placed on soda has had any impact on consumer behavior (whether people continued to buy soda). Before the new tax, convenience stores in the city sold an average of µ = 410, sugar filled beverages per day with σ = 60. The distribution was normal. Following the new tax, data were collected for a sample of n = 9 days and the new mean was M = 386 from the same convenience stores. Using this information, answer the questions below and determine whether the the new soda tax significantly impacted consumers' buying behavior; use ? = .05 when making your decision. Identify the independent variable. Identify the dependent variable. State the null and alternative hypothesis . You can use words or notation. Establish the critical boundary for the research question Calculate Include answer for standard error Include answer for z-score Summarize your results, including an explanation Calculate and interpret Cohen’s d (if appropriate)

Answer 1

independent variable. : soda tax

dependent variable : consumers' buying behavior

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Ho :   µ =   410  
Ha :   µ ╪   410   (Two tail test)
          
Level of Significance ,    α =    0.050  
population std dev ,    σ =    60.0000  
Sample Size ,   n =    9  
Sample Mean,    x̅ =   86.0000  
          
'   '   '  
          
Standard Error , SE = σ/√n =   60/√9=   20.0000  
Z-test statistic= (x̅ - µ )/SE =    (86-410)/20=   -16.2000  
          
critical z value, z* =   ±   1.9600   [Excel formula =NORMSINV(α/no. of tails) ]
          
Decision:   |test stat| > |critical| , Reject null hypothesis       
Conclusion: There is enough evidence to say taht tax has an imapct on buying behaviour

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