According to a June 2004 Gallup poll, 28% of Americans “said there have been tim

Question

According to a June 2004 Gallup poll, 28% of Americans “said there have been times in the last year when they haven’t been able to afford medical care.” Is this proportion higher for black Americans than for all Americans? In a random sample of 801 black Americans, 34% reported that there had been times in the last year when they had not been able to afford medical care.?Test an appropriate hypothesis and state your conclusion. (Make sure to check any necessary conditions and to state a conclusion in the context of the problem.)

H0: ______________ HA: ____________________

Sample proportion: _____________

Standard deviation SD(p0): _______________

Is your test one-tail right (upper) tail, one-tail left (lower) tail, or two-tail?

P-value:__________________

Explain what your P-value means in this context.


Conclusion:


Explain what Type 1 and Type 2 Error means in this context.

Explanation / Answer

H0: p = 0.28 HA: p > 0.28 sample proportion: 0.34 SD = sqrt(0.28*0.72/801) = 0.016 one-tail P-value = 0.0001 If the proportion for blacks is 28%, the chances of getting a random sample in which 34% (or more) can't afford care is 0.0001. conclusion: there is strong evidence that the proportion of blakcs who can't afford medical care is higher than 28% Type I error means that the proportion for blacks is not higher but we concluded that it was; Type II means that proportion for black is higher but we concluded that it wasn't.

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