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larisa [96]
3 years ago
6

According to a soccer coach, 75% of soccer players have had at least one sprained ankle. An athletic trainer would like to inves

tigate this claim. To do so, the trainer selects a random sample of 125 college soccer players from across the country and finds that 99 of them have had at least one sprained ankle. The trainer would like to know if the data provide convincing evidence that the true proportion of college soccer players who have had at least one sprained ankle is greater than 75%. What are the appropriate hypotheses for this test
Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

H0 : μ = 0.75

H1 : μ > 0.75

Step-by-step explanation:

Given :

Sample size, n = 125

x = 99

Phat = x / n = 99 / 125 = 0.792

Population proportion, P = 0.75

The hypothesis :

Null hypothesis :

H0 : μ = 0.75

Alternative hypothesis ;

Egates the null hypothesis ; since the sample proportion is greater than the the population proportion or claim "; then we use the greater than sign.

H1 : μ > 0.75

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---------------------------------------------------------
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If we add up the equations straight down we will have 0a+2b = 6

Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away

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To check, plug this ordered pair back into both equations

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Equation 2:
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this is true as well

So this confirms that the final answer is choice A
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