Edgar, a manager from Human Resources, thinks the problem stems from night-shift workers not getting proper sleep and consequently inducing errors. He thinks that less than 50% of workers on the night shift are getting at least the seven hours of sleep necessary to perform adequately. HR surveys 80 night-shift workers and finds that 46 of them claim to get at least seven hours of sleep per night. At 95% confidence, can we reject Edgar's claim? Please use the critical-value method to test this, stating the null and alternative hypotheses as well as the test statistic you will use.