#### Answer

0.1736, the evidence is not strong.

#### Work Step by Step

p=0.67
$q=1-p=1-0.67=0.33$
$n⋅p=250⋅0.67=167.5≥5.$
$n⋅q=250⋅0.33=82.5≥5.$
Hence, the requirements are satisfied.
mean: $\mu=n\cdotp=250\cdot0.67=167.5.$
standard deviation: $\sigma=\sqrt{n\cdot p\cdot q}=\sqrt{250\cdot0.67\cdot0.33}=7.43.$
174.5 is the first value less than 70%, hence:
$z=\frac{value-mean}{standard \ deviation}=\frac{174.5-167.5}{7.43}=0.94.$
By using the table, the probability belonging to z=0.94: 0.8264, hence the probability: 1-0.8264=0.1736. This probability is not really close to 0, hence the evidence is not strong.