A group of retired admirals, generals, and other senior military leaders, recently published a report, "Too Fat to Fight".

The report said that 75 percent of young Americans between the ages of 17 to 24 do not qualify for the military because of

• failure to graduate [from high school],
• criminal records or
• physical problems.

The study cited Department of Defense and health data. A research group does not agree with this statistic.

In a random sample of 180 young Americans 125 did not qualify for the military.

Using a 5% significance level, is there sufficient evidence to conclude that less than 75% of Americans between the ages of 17 to 24 do not qualify for the military?

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What are the null and alternative hypotheses?

Select one:

a.

H₀: p = 0.75 and H_A: p < 0.75

b.

H₀: p < 0.75 and H_A: p = 0.75

c.

H₀: p = 0.75 and H_A: p > 0.75

d.

H₀: p = 0.694 and H_A: p < 0.694