College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is higher at his college. He tests H0: p = 0.25 versus Ha: p > 0.25. The campus health center staff select a random sample of 150 students and determine that 43 have been diagnosed with a STD. Conduct a hypothesis test to address the director’s hypothesis. Use a 5% significance level to make your decision. Use the applet to determine the P‑value. Click here to open the applet. Which of the following is an appropriate conclusion based on the results? The data provides strong evidence that the proportion of students at his college who have a STD is more than 25%. The data suggests that the proportion of students at his college who have a STD is 29%. Of the students surveyed at his college, 29% have an STD, but this is not strong enough evidence to conclude that the proportion of students at his college who have a STD is higher than the report’s estimate. This survey suggests that 25% of students at his college have a STD.

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Description: College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the

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College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is higher at his college.

He tests H₀: p = 0.25 versus H_a: p > 0.25. The campus health center staff select a random sample of 150 students and determine that 43 have been diagnosed with a STD.

Conduct a hypothesis test to address the director’s hypothesis. Use a 5% significance level to make your decision. Use the applet to determine the P‑value.

Click here to open the applet.

Which of the following is an appropriate conclusion based on the results?

The data provides strong evidence that the proportion of students at his college who have a STD is more than 25%.
The data suggests that the proportion of students at his college who have a STD is 29%.
Of the students surveyed at his college, 29% have an STD, but this is not strong enough evidence to conclude that the proportion of students at his college who have a STD is higher than the report’s estimate.
This survey suggests that 25% of students at his college have a STD.

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