Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p₁ be the proportion of customer complaints with the old dough and p₂ be the proportion of customer complaints with the new dough. Based on a 95% confidence for the difference of the proportions, what can be concluded? A) Reject H₀, we can conclude the proportion of customer complaints is more for the old dough B) Do not reject H₀, we cannot conclude the proportion of customer complaints is more for the old dough C) Do not reject H₀, we can conclude the proportion of customer complaints is more for the old dough D) Reject H₀, we cannot conclude the proportion of customer complaints is more for the old dough

Question

Quizplus · Accepted Answer

The proportion of complaints for the old dough is lower (6/385) compared to the new dough (16/340), indicating an increase in complaints with the new dough. Without calculating the exact confidence interval, the increase in complaints suggests that if there's a significant difference, it's in favor of the old dough having fewer complaints, not more. Therefore, we do not reject the null hypothesis (H0) that there's no significant difference in favor of the old dough having more complaints.

Paul Owns a Mobile Wood-Fired Pizza Oven Operation