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.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: