Silver was claimed to be the most common color for automobiles and that 24% of all automobiles sold are silver. To test this claim, a random sample of 225 cars were taken and 63 of them are silver. Conduct a two-sided hypothesis test.

What are the conditions we need to check for the hypothesis test?

A; The population size is larger than 2250.

B; The sample size is large enough. np_0=63>10np0​=63>10 and n(1-p_0)=162>10n(1−p0​)=162>10

C; The sample is normally distributed.

D; The population size is larger 225.

E; The sample size is large enough. np_0=54>10np0​=54>10 and n(1-p_0)=171>10n(1−p0​)=171>10

F; The cars are randomly and independently sampled.