Question

Step 1

**a.**

**Confidence Interval:**

The form of the confidence interval is,

*CI *= Point estimate ± Margin of error

The approximate 100*(1–α)% confidence interval for the difference between two population proportions (π_{1}– π_{2}) will be obtained using the formula given below:

Step 2

**Obtain the sample proportion of customers purchasing lawnmowers with warranty:**

It is given that among a sample of 25 customers offered the warranty, 10 customers purchased a lawnmower.

The sample size is *n*_{1} = 25.

The number of specified characteristics is *x*_{1} = 10.

The sample proportion of customers purchasing lawnmowers with warranty is obtained as 0.4 from the calculation given below:

Step 3

**Obtain the sample proportion of customers purchasing lawnmowers without warranty:**

It is given that among a sample of 25 customers not offered the warranty, 4 customers purchased a lawnmower.

The sample size is *n*2 = 25.

The number of s...

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