A random sample of enrollments from medical schools that specialize in research and from those that are noted for primary care is listed
Research Primary care
474 577 605 663
783 467 670 414
813 443 565 696
884 694 277 419 783 605 427 728
546 474 371 107
442 587 293 277
662 555 527 320
a. Test if there is significant difference between the mean of the enrollments at α = 0.05.
b. Find the 95% confidence interval for the difference in the means.

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24-08-2022
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A random sample of enrollments from medical schools that specialize in research and from those that are noted for primary care is listed
Research Primary care
474 577 605 663
783 467 670 414
813 443 565 696
884 694 277 419 783 605 427 728
546 474 371 107
442 587 293 277
662 555 527 320
a. Test if there is significant difference between the mean of the enrollments at α = 0.05.
b. Find the 95% confidence interval for the difference in the means.

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-08-27T05:06:57+02:00

There is a significant difference between the mean of the enrollments at α = 0.05 in the hypothesis.

How to illustrate the information?

p-value = 0.0749

p.value >0.0.5

We Accept H0 at 0.05 significance level

Therefore, the mean enrollments for the two groups are not the same

p-value at (z = 1.918) for right-tailed test is 0.0276 or 2.76% (Using excel formula 1-NORM.S.DIST(1.918, TRUE))

As p-value is less than 5% significance level, we reject the null hypothesis.

Therefore, we have sufficient evidence to support the claim that more medical students enroll in research-oriented medical schools (p-value = 2.76%).

The 95% confidence interval is (-11.5746, 228.5452)

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