Answer:
Yes it suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood.
Well if a significance level of 0.05 is used it will not affect the conclusion
Step-by-step explanation:
From the question we are told that
The sample size is
The number that where type A blood is k = 76
The population proportion is
The significance level is
Generally the sample proportion is mathematically represented as
=>
=>
The Null hypothesis is
The Alternative hypothesis is
Next we obtain the critical value of from the z-table.The value is
Generally the test statistics is mathematically evaluated as
substituting values
So looking at the values for t and we see that so we reject the null hypothesis. Which means that there is no sufficient evidence to support the claim
Now if , the from the z-table the critical value for is
So comparing the value of t and we see that hence the conclusion would not be different.