Is there a relationship between buying organic produce and h

Is there a relationship between buying organic produce and having a college degree for males and females? A random sample of 1,077 U.S. adults was obtained. Of those females sampled without a college degree 114 buy organic produce while 212 do not buy organic produce. Of those females sampled with a college degree 125 buy organic produce while 154 do not buy organic produce. Of those males sampled without a college degree, eighty-five buy organic produce while seventy do not buy organic produce. Of those males sampled with a college degree, 165 buy organic produce while 152 do not buy organic produce. At the 2.5% significance level, what conclusion can be reached? For migraine sufferers, is there an association between gender and relief from a migraine with a cold or hot compress? From a random sample of 600 migraine sufferers, 192 females received relief using a hot compress while 208 females received relief using a cold compress. Whereas ninety-eight males received relief using a hot compress and 102 males received relief using a cold compress. At the 1% significance level, what conclusion can be reached?

Solution

3)

Ho : For the population buying organic produce and having a college degree with gender specific are not related.

H₁ : For the population buying organic produce and having a college degree with gender specific are related.

Observed frequencies :

Expected frequencies :

Chi-square statistic = 25.575 , degree of freedom = (r-1) * (c-1) = 3*1 = 3

Chi-square critical = 9.3484.

Conclusion : Fail to accept the null hypothesis.

4)

Ho : For the population, relief from a migraine with a cold or hot compress with gender specific are not related.

H₁ : For the population, relief from a migraine with a cold or hot compress with gender specific are related.

Observed Frequencies :

Expected Frequencies :

Chi-square Statistic = 0.0534 , degree of freedom = (r-1)*(c-1) = 1*1 = 1

Chi-square critical = 6.6349.

Conclusion : Fail to reject the null hypothesis.

	FWO	FW	MWO	MW	Total
BUY	114	125	85	165	489
DONOT	212	154	70	152	588
Total	326	279	155	317	1077