Determine Whether the Sample Sizes Are Large Enough to Conclude $$n _ { 1 } = 48 , n _ { 2 } = 55 , \hat { p } _ { 1 } = .4 , \hat { p } _ { 2 } = .7$$

question 7

Essay

Determine whether the sample sizes are large enough to conclude that the sampling
distributions are approximately normal. $$n _ { 1 } = 48 , n _ { 2 } = 55 , \hat { p } _ { 1 } = .4 , \hat { p } _ { 2 } = .7$$

---

Definitions:

Rationing Mechanism

A method or system used to allocate scarce resources, goods, or services among people, typically in situations of short supply.

Competitive Market

A market structure characterized by a large number of buyers and sellers, free entry and exit, and products that are similar in nature, leading to competitive prices.

Economic Policies

Actions taken by a government to influence its economy, including fiscal policy, monetary policy, and trade policy.

Inefficient Rationing

A situation where goods or services are distributed or allocated in a way that does not maximize utility or welfare, often due to non-market forces such as regulations.