Approximately 50% of all caregivers of older adults are caring for someone with memory loss (due to issues such as Alzheimer's or dementia). It is believed that there has been a reduction in the percentage of caregivers caring for older adults with memory loss. This year, in a random sample of 400 caregivers, 178 were caring for older adults with memory loss.

(a) State the null and the alternative hypotheses. 

(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 statistic. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤ test statistic ≥ State your conclusion. 

(c) At the 0.05 level using the p-value approach, determine if there has been a significant reduction in the proportion of caregivers caring for adults with memory loss. Find the p-value. (Round your answer to four decimal places.) p-value = Does the p-value approach result in the same conclusion as that of part b?