MATH SOLVE

2 months ago

Q:
# A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion.

Accepted Solution

A:

Answer:Pvalue = 0.193There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%Step-by-step explanation:H0 : p = 0.4H1 : p < 0.4Test statistic :z=pˆ−p/√p(1−p)/npˆ = 74 / 200 = 0.37Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200Z = - 0.03 / √0.0012Z = - 0.03 / 0.0346410Z = - 0.866 Test statistic = -0.866The Pvalue :P(Z < -0.866) = 0.193α - level = 0.05If Pvalue < α ; Reject H0Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%