You may need to use the appropriate appendix table or technology to answer this question. Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to is percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 181 were caring for older adults with memory loss uch as Alaheimer's or dementia). It is beleved that there has been a reduction in the (a) State the null and the alternative hypotheses. (Enter t for as needed.) (b) At the 0.05 level using the critical value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss Compute the test statistk. Determine the critical value(s) for this test. (Round your answerta) to two decimal places. If the test is one-taled, enter NONE for the unused tal.) test statisticS test statistic State your condusion. O Reject Ha There is insufficient evidence to support the claim that the proportion of caregivers caring for older aduits with memory loss is significantly less than 50% O Do not reject H There is sufficient evidence to support the daim that the proportion of caregivers caring for older adults with memory loss is significantiy less than 50N. O Do not reject Hg. There is insufficient evidence to support the claim that the proportion of caregivers caring for older aduts with memory loss is signicantly iess than so% O Reject Ha. There is sufficient evidence to support the claim that the proportion of caregivers coring for older aduits with memory loss is signiticantiy less than So%. (c) At the 0.05 level using the p-value approach, determine if there has been a signifcant reduction in the proportion of caregivers caring for aduits with memory loss. Find the p-value. (Round your answer to four decimal places.) pvalue Does the pvalue approach result in the same condlusion as that of part b? O Yes. Since the p-value is smaller than 0.05, the value approach leads to the same conclusion found in part b. O Yes. Since the p-value is larger than 0.05, the p-value approach leads to the same conclusion found in part b ONo. Since the p-value is smaller than 0.05, the Dvalue approach leads to a dirferent conclusion from what was found in part b O No. Since the p-value is larger than 0.05, the p-value approach leads to a different conciusion from what was found in part b