Question

A random sample of 152 recent donations at a certain blood bank reveals that 88 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 0.01.
State the appropriate null and alternative hypotheses.

H₀: p = 0.40
H_a: p > 0.40

H₀: p = 0.40
H_a: p ≠ 0.40  

  H₀: p ≠ 0.40
H_a: p = 0.40

H₀: p = 0.40
H_a: p < 0.

Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z value & P- value.

Answer 1

H0: p = 0.40

Ha: p ≠ 0.40  

We have for given example,                  
Population proportion value is =0.4              
x=88              
                  
n=152              
          
Estimate for sample proportion =0.5789              
                  
              

P value =0..................by using Z table or Excel =2*(1-NORMSDIST(4.502))

P value =0