Custom error responses with net/http ServeMux using middleware

I am trying to return JSON responses for Not Found and Method Not Allowed responses when using the net/http ServeMux. I implemented this as a middleware and would appreciate any feedback on what could be done better. Also, please let me know if there is a simpler way. Thanks!

type ResponseWriterInterceptor struct {
	w      http.ResponseWriter
	status int
}

func (i *ResponseWriterInterceptor) Header() http.Header {
	return i.w.Header()
}
func (i *ResponseWriterInterceptor) Write(b []byte) (int, error) {
	if string(b) == "Method Not Allowed\n" || string(b) == "404 page not found\n" {
		return 0, nil
	}
	return i.w.Write(b)
}

func (i *ResponseWriterInterceptor) WriteHeader(statusCode int) {
	i.status = statusCode
}

func (app *application) JSONError(next http.Handler) http.Handler {
	return http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
		i := &ResponseWriterInterceptor{w: w}
		next.ServeHTTP(i, r)

		switch i.status {
		case http.StatusNotFound:
			app.notFoundResponse(w, r)
		case http.StatusMethodNotAllowed:
			app.methodNotAllowedResponse(w, r)
		}
	})
}