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Studies have shown that low vitamin D is associated with impaired fertility, endometriosis, and polycystic ovary syndrome. Vitamin D regulates the antimullerian hormone (AMH), follicle-stimulating hormone, mRNA, and expression of genes in reproductive tissues, implicating a role in female reproduction. Lata et al. conducted a prospective study to compare AMH levels in infertile and fertile females with vitamin D deficiency. Among the 35 infertile females (group 1), the mean AMH level was 1.94 with standard deviation 1.30. Among the 35 fertile females (group 2), the mean AMH level was 3.47 with standard deviation 2.59. Assuming that the population variances are unequal, you need to test the claim that infertile females have lower AMH levels than fertile females using a 0.05 significance level. To do so, answer each of the following questions.
What is the null hypothesis?
What is the alternative hypothesis?
What is the value of the test statistic you should use to test the given hypothesis?
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