QuestionJuly 21, 2025

Knee injury: The anterior crudate ligament (ACL) runs diagonally in the middle of the knee. An article in a respected journal reports results for 118 people who had suffered ACL injuries.of the 118 injuries 60 were to the left knee and 58 were to the right knee. Can you conclude that more than half of ACL injuries are to the left knee? Use the alpha =0.01 level of significance. Here are the nul and alternative hypotheses. H_(0):p=0.5 H_(1):pgt 0.5 Part: 0/2 Part 1 of 2 (a) What is the P-value? Round your answer to four decimal places. The P-value is square

Knee injury: The anterior crudate ligament (ACL) runs diagonally in the middle of the knee. An article in a respected journal reports results for 118 people who had suffered ACL injuries.of the 118 injuries 60 were to the left knee and 58 were to the right knee. Can you conclude that more than half of ACL injuries are to the left knee? Use the alpha =0.01 level of significance. Here are the nul and alternative hypotheses. H_(0):p=0.5 H_(1):pgt 0.5 Part: 0/2 Part 1 of 2 (a) What is the P-value? Round your answer to four decimal places. The P-value is square
Knee injury: The anterior crudate ligament (ACL) runs diagonally in the middle of the knee. An article in a respected journal reports results for 118 people who
had suffered ACL injuries.of the 118 injuries 60 were to the left knee and 58 were to the right knee.
Can you conclude that more than half of ACL injuries are to the left knee? Use the alpha =0.01 level of significance.
Here are the nul and alternative hypotheses.
H_(0):p=0.5
H_(1):pgt 0.5
Part: 0/2
Part 1 of 2
(a) What is the P-value? Round your answer to four decimal places.
The P-value is square

Solution
4.2(321 votes)

Answer

The P-value is 0.2266 Explanation 1. Calculate the sample proportion The sample proportion p for left knee injuries is \frac{60}{118}. 2. Calculate the standard error **Standard Error (SE)** is calculated using the formula: SE = \sqrt{\frac{p_0(1-p_0)}{n}}, where p_0 = 0.5 and n = 118. 3. Calculate the test statistic Use the formula: z = \frac{\hat{p} - p_0}{SE}, where \hat{p} = \frac{60}{118}. 4. Find the P-value Use the calculated z value to find the P-value from the standard normal distribution table.

Explanation

1. Calculate the sample proportion<br /> The sample proportion $p$ for left knee injuries is $\frac{60}{118}$.<br /><br />2. Calculate the standard error<br /> **Standard Error (SE)** is calculated using the formula: $SE = \sqrt{\frac{p_0(1-p_0)}{n}}$, where $p_0 = 0.5$ and $n = 118$.<br /><br />3. Calculate the test statistic<br /> Use the formula: $z = \frac{\hat{p} - p_0}{SE}$, where $\hat{p} = \frac{60}{118}$.<br /><br />4. Find the P-value<br /> Use the calculated $z$ value to find the P-value from the standard normal distribution table.
Click to rate:

Similar Questions