Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is

The number that tested positive is

The second sample size is

The number that tested positive is

The level of significance is

Generally the first sample proportion is mathematically represented as

=>

=>

Generally the second sample proportion is mathematically represented as

=>

=>

The null hypothesis is

The alternative hypothesis is

Generally the test statistics is mathematically represented

=>

=>

From the z table the area under the normal curve to the right corresponding to 1.56 is

Generally the p-value is mathematically represented as

=>

=>

From the value obtained we see that hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife