Based on the analysis of the Classic Burger sales by coupon usage, which of the following statements is correct?

• A. Coupons have no effect on Classic Burger sales.
• B. The data is insufficient to determine any relationship between coupons and Classic Burger sales.
• C. Classic Burger sales decrease when coupons are used.
• D. There is evidence that coupons have a significant effect on Classic Burger sales.

Answer: (D)

Verified step by step guidance

1. Step 1: Begin by identifying the type of analysis required to determine the relationship between coupon usage and Classic Burger sales. This typically involves statistical methods such as hypothesis testing or regression analysis.
2. Step 2: Formulate the null hypothesis (H₀) and the alternative hypothesis (H₁). For this problem, H₀ could be 'Coupons have no effect on Classic Burger sales,' and H₁ could be 'Coupons have a significant effect on Classic Burger sales.'
3. Step 3: Collect and analyze the data. If the data includes sales figures with and without coupon usage, calculate relevant statistics such as means, variances, or proportions for each group. Use appropriate statistical tests, such as a t-test or chi-square test, depending on the data type.
4. Step 4: Evaluate the p-value or test statistic obtained from the analysis. Compare it to the significance level (e.g., α = 0.05). If the p-value is less than α, reject the null hypothesis and conclude that coupons have a significant effect on sales.
5. Step 5: Interpret the results in the context of the problem. If the null hypothesis is rejected, it supports the statement 'There is evidence that coupons have a significant effect on Classic Burger sales.' Ensure the conclusion aligns with the statistical evidence provided.