A company has the head office at Chennai and a branch at Coimbatore. The personnel director wanted to know if the workers at the two places would like the introduction of a new plan of work and a survey was conducted for this purpose. Out of a sample of $500$ workers at Chennai, $62\%$ favoured the new plan. At Coimbatore out of a sample of $400$ workers, $41\%$ were against the new plan. Is there any significant difference between the two groups in their attitude towards the new plan at $5\%$ level?A company has the head office at Chennai and a branch at Coimbatore. The personnel director wanted to know if the workers at the two places would like the introduction of a new plan of work and a survey was conducted for this purpose. Out of a sample of $500$ workers at Chennai, $62\%$ favoured the new plan. At Coimbatore out of a sample of $400$ workers, $41\%$ were against the new plan. Is there any significant difference between the two groups in their attitude towards the new plan at $5\%$ level?