Answer:
Here claim is that support for the current President is higher than 40%
As null hypothesis have greater than sign, hypothesis here is vs H0: P= 0.4 VS H1: P> 0.4
Now -216p=200=0.42
Hence test statistics is
z = p - p/√pq/n = 0.42-0.4/√0.4 x 0.6/500
= 0.91
P value for this test statistics is P( z> 0.91) = 0.1814> ∝ = 0.05
As P value is greater than alpha, we fail to reject the null hypothesis
Hence there is no sufficient evidence to support the claim that p>0.4
we can conclude that 40% pool of the U.S. public supports the general direction of the current
Explanation: