---### Chi-Square Test for Automobile Sales**Problem Statement:**Assume you are working as a statistician for the automotive company Ford. Ford's three most popular cars are the Escape (SUV), the Focus (midsize sedan), and the Fusion (hybrid sedan). Your boss is putting together next year’s production numbers and asks you to determine if any of the three models are selling better or worse than the other two. You have the sales numbers from one month of sales: the Escape sold 22,274, the Focus sold 21,385, and the Fusion sold 20,808.¹ Perform the necessary test to determine if sales are significantly different and report the conclusion(s) of interest to your boss. ¹Sales from The Wall Street Journal for June 2011. ---**Instructions to Solve:**Calculate the chi-square test statistic and the p-value.Round your answer for the chi-square statistic to the nearest integer, and your answer for the p-value to three decimal places.\[ \chi^2 = \boxed{} \]\[ p \text{-value} = \boxed{} \] ---**Conclusion:**Is the evidence strong enough from this one month to conclude that sales are significantly different between the three models?---

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Assume you are working as a statistician for the automotive company Ford. Ford's three most popular cars are the Escape (SUV), the Focus (midsize sedan), and the Fusion (hybrid sedan). Your boss is putting together next year's production numbers and asks you to determine if any of the three models are selling better or worse than the other two. You have the sales numbers from one month of sales: the Escape sold 22,274, the Focus sold 21,385, and the Fusion sold 20,808.1 Perform the necessary test to determine if sales are significantly different and report the conclusion(s) of interest to your boss. 1Sales from The Wall Street Journal for June 2011. Calculate the chi-square test statistic and the p-value. Round your answer for the chi-square statistic to the nearest integer, and your answer for the p-value to three decimal places. i p-value = Is the evidence strong enough from this one month to conclude that sales are significantly different between the three models?

Assume you are working as a statistician for the automotive company Ford. Ford's three most popular cars are the Escape (SUV), the Focus (midsize sedan), and the Fusion (hybrid sedan). Your boss is putting together next year's production numbers and asks you to determine if any of the three models are selling better or worse than the other two. You have the sales numbers from one month of sales: the Escape sold 22,274, the Focus sold 21,385, and the Fusion sold 20,808.1 Perform the necessary test to determine if sales are significantly different and report the conclusion(s) of interest to your boss. 1Sales from The Wall Street Journal for June 2011. Calculate the chi-square test statistic and the p-value. Round your answer for the chi-square statistic to the nearest integer, and your answer for the p-value to three decimal places. i p-value = Is the evidence strong enough from this one month to conclude that sales are significantly different between the three models?

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

---

### Chi-Square Test for Automobile Sales

**Problem Statement:**

Assume you are working as a statistician for the automotive company Ford. Ford's three most popular cars are the Escape (SUV), the Focus (midsize sedan), and the Fusion (hybrid sedan). Your boss is putting together next year’s production numbers and asks you to determine if any of the three models are selling better or worse than the other two. You have the sales numbers from one month of sales: the Escape sold 22,274, the Focus sold 21,385, and the Fusion sold 20,808.¹ Perform the necessary test to determine if sales are significantly different and report the conclusion(s) of interest to your boss.

¹Sales from The Wall Street Journal for June 2011.

---

**Instructions to Solve:**

Calculate the chi-square test statistic and the p-value.

Round your answer for the chi-square statistic to the nearest integer, and your answer for the p-value to three decimal places.

\[ \chi^2 = \boxed{} \]

\[ p \text{-value} = \boxed{} \]

---

**Conclusion:**

Is the evidence strong enough from this one month to conclude that sales are significantly different between the three models?

---

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