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Solved: A random sample of 150 recent donations at a
Chapter 8, Problem 45E(choose chapter or problem)
Problem 45E
A random sample of 150 recent donations at a certain blood bank reveals that 82 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of .01. Would your conclusion have been different if a significance level of .05 had been used?
Questions & Answers
QUESTION:
Problem 45E
A random sample of 150 recent donations at a certain blood bank reveals that 82 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood? Carry out a test of the appropriate hypotheses using a significance level of .01. Would your conclusion have been different if a significance level of .05 had been used?
ANSWER:
Step 1 of 3
Given that,
A random sample of n = 150 recent donations at a certain blood bank reveals that x = 82 were type A blood.
It is required to determine whether it suggests that the actual percentage of type A donations differs from 40% (the percentage of the population having type A blood).
The level of significance = 0.01.
Let the actual percentage of type A donations is denoted by p.
The null and the alternative hypothesis are:
It corresponds to a two-tailed test.