(Reuters) -Federal Reserve policymakers are increasingly attentive to the U.S. labor market as they prepare for a policy-setting meeting later this month, when their assessment of job-market health will be key to how big an interest-rate cut they deliver. Analysts largely expect the Fed to stick to a quarter-point reduction, given that employers have continued to hire although at a slower pace than before, and with the unemployment rate on the rise but still at a relatively low 4.3%. But data on Wednesday showing job openings in July fell to the lowest level in three and a half years may add to the sense that the job market may be nearing a tipping point, and could build the case for a larger rate cut.