A national survey of 47,000 American households in 2006 found that 32.4% of the households included a pet cat. This survey result was reported in the 2011 Statistical Abstract of the United States, which listed the American Veterinary Medical Association as the source. No information wasprovided about how the sample households were selected.

A theory-based test of whether one third of all American households include a pet cat results in a p-value less than 0.0001.

Explain why the p-value turned out to be so small even though the observed sample proportion appears to be quite close to 1/3.

a- The p-value turned out to be so small because the sample size is huge.

b- The p-value turned out to be so small because the sample size is small.

c- The p-value turned out to be so small because the proportion is less than 50.

d- The p-value turned out to be so small because the proportion is more than 30.

Is it a,b,c or d?