Goodness-of-Fit Test · Exercise 22

The city of South Lake Tahoe, California, has an Asian population of 1,419 out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the borough of Manhattan in the New York City area yielded the data in. Conduct a goodness-of-fit test to determine if the self-reported subgroups of Asians in Manhattan fit that of the South Lake Tahoe area.

$$\begin{array}{ccc}\text{Race}& \text{South Lake Tahoe Frequency}& \text{Manhattan Frequency}\\ \text{Asian Indian}& \text{131}& \text{174}\\ \text{Chinese}& \text{118}& \text{557}\\ \text{Filipino}& \text{1,045}& \text{518}\\ \text{Japanese}& \text{80}& \text{54}\\ \text{Korean}& \text{12}& \text{29}\\ \text{Vietnamese}& \text{9}& \text{21}\\ \text{Other}& \text{24}& \text{66}\end{array}$$

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

OpenStax, Statistics · §11.2 Goodness-of-Fit Test · Exercise 22