Question: A Chi-Square Goodness-of-Fit test is applicable to the following.

A firm that manufactures engines for racing boats gathers data from all of its plants. The 6)

table below gives the distribution of the life span of the engines (in numbers of months) for

the entire firm.

A random sample of 448 engines from the firm's Ohio plant gives the following results.

At the 5% significance level, do the data provide evidence that the distribution of the life

spans of the engines manufactured at the Ohio plant is different from the firm's overall distribution?

a) What is the p-value for this test?

b) What is your decision (Reject/Fail to reject)?

Provide an appropriate response.