Problem 8 (5 points) certain blood bank reveals that 30 were type A random sampl
ID: 3248476 • Letter: P
Question
Problem 8 (5 points) certain blood bank reveals that 30 were type A random sample of 130 recent donations at a differs from 20%. time blood. Does this that the actual peroentage of type B percentage of the population having type B blood? a) State the Null and Alternative hypothesis. b) Draw the picture to state rejection region for significance level of 0.03. the a c) Find the Test statistic value. d) Find the critical value or P-value e) Decide whether the null hypothesis is rejected, and state this conclusion in the probl context.Explanation / Answer
a)
Null hypothesis: P = 0.20
Alternative hypothesis: P 0.20
b)
c) n =130 , p = 30 / 130 = 0.2308
= sqrt[ P * ( 1 - P ) / n ]
= sqrt [(0.20 * 0.80) / 130]
-= 0.0351
z = (p - P) /
= (.2308 - .20)/0.0351
= 0.8766
d) p value is calculated using z = 0.8766
p value = 0.380704.
e)
p value is greater than significance level 0.03 , so we fail to reject the null hypothesis.