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Two manufacturers of sport utility vehicles (SUVs) claim that the sharpness of the turning radius for their SUV is better than all other SUVs on the market. John randomly selected 30 professional sports car drivers to test the manufacturers' claims. The drivers were all experienced in driving both manufacturers' SUVs as well as competing SUVs on the market. He asked 15 drivers their opinion of vehicle A and 15 drivers their opinion of vehicle B. The drivers' opinions on both SUV manufacturers' claims are shown in the table.

\begin{tabular}{|c|c|c|}
\hline & Vehicle A & Vehicle B \\
\hline Agreed & 11 & 13 \\
\hline Disagreed & 4 & 2 \\
\hline
\end{tabular}

Given John's data collection method and findings, what conclusion can be made?

A. Only the claim for vehicle A is true because 11 out of 15 people agree with their claim.
B. Only the claim for vehicle B is true because more people agree with their claim.
C. Both SUV manufacturers' claims are true, but the turning radius of vehicle B is sharper than the turning radius of vehicle A.
D. Neither of the claims are correct.



Answer :

GinnyAnswer
Given John's data collection method and findings, let's analyze the given information.

According to the table, the collected opinions of professional sports car drivers for each SUV manufacturer claim are shown:

For Vehicle A:
- 11 drivers agreed with the claim
- 4 drivers disagreed with the claim

For Vehicle B:
- 13 drivers agreed with the claim
- 2 drivers disagreed with the claim

Based on these data points, the majority of the drivers agree with both manufacturers' claims:

- For Vehicle A, [tex]\( \frac{11}{15} \)[/tex] of the drivers agree with the claim. This is approximately 73.3%.
- For Vehicle B, [tex]\( \frac{13}{15} \)[/tex] of the drivers agree with the claim. This is approximately 86.7%.

Since the majority of the drivers agreed with the claims made by both manufacturers, it suggests that both claims are likely valid. Additionally, more drivers agreed with the claim for Vehicle B compared to Vehicle A, indicating that the turning radius of Vehicle B might be perceived as sharper compared to Vehicle A.

Therefore, the best conclusion based on the given data and the majority agreement with the claims is:

C. Both SUV manufacturers' claims are true, but the turning radius of vehicle B is sharper than the turning radius of vehicle A.

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