Answer:
a. Fail to reject the null hypothesis.
Explanation:
Here we test the claim that proportion of reachers is really 41%

(Two tailed test at 1% significance level)
Observed proportion = 0.36
Sample size n = 100
Std error of proportion =

p difference = 0.36-0.41 =- 0.05
Test statistic Z = p diff/std error =-1.0166
p value=0.286
Since p >0.01 we accept null hypothesis.
a. Fail to reject the null hypothesis.