Among 150 donations there are 82 type A blood in a random sa

Among 150 donations. there are 82 type A blood in a random sample from blood banks. Does this suggest that the actual percentage of type A donations differs from 40X? Carryout attest of appropriate hypotheses using a significance level of .05.

Solution

Here given P=0.4; sample proportion (p)= 82/150=

The test statistic z = p-P/SE(p)

Where SE(p) = sqrt( P*Q/n)

Null hypothesis: The Percentage of type A donations is 0.4

Alternative hypothesis: The Percentage of type A donations is not 0.4

Below is the output of the results

Since the P-value is less than 0.05 we reject the null hypothesis and conclude that there is sufficient evidence to accept the hyptothesis that the percentage of A type donations differs from 40%

Z Test of Hypothesis for the Proportion
Data
Null Hypothesis        p =	0.4
Level of Significance	0.05
Number of Items of Interest	82
Sample Size	150
Intermediate Calculations
Sample Proportion	0.546666667
Standard Error	0.04
Z Test Statistic	3.666666667
Two-Tail Test
Lower Critical Value	-1.959963985
Upper Critical Value	1.959963985
p-Value	0.000245733
Reject the null hypothesis