A random sample of 149 recent donations at a certain blood bank reveals that 76 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 appropriate hypotheses using a significance level of 0.01. Would your conclusion have been different if a significance level of 0.05 has been used?

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.

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step-by-step explanation:

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step-by-step explanation:

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