Goodness-of-Fit Test · Try It 1

A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in.

$$\begin{array}{cc}\text{Number produced}& \text{Number defective}\\ \text{0–100}& \text{5}\\ \text{101–200}& \text{6}\\ \text{201–300}& \text{7}\\ \text{301–400}& \text{8}\\ \text{401–500}& \text{10}\end{array}$$
A random sample was taken to determine the actual number of defects. shows the results of the survey.

$$\begin{array}{cc}\text{Number produced}& \text{Number defective}\\ \text{0–100}& \text{5}\\ \text{101–200}& \text{7}\\ \text{201–300}& \text{8}\\ \text{301–400}& \text{9}\\ \text{401–500}& \text{11}\end{array}$$
State the null and alternative hypotheses needed to conduct a goodness-of-fit test, and state the degrees of freedom.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §11.2 Goodness-of-Fit Test · Try It 1