You wish to test the claim that the mean age of a certain voting demographic is not equal to 50.1 at a significance level of o = 0.10. OH: = 50.1 and Ha : p # 50.1 O Ho:p = 55.6737 and Ha: / # 55.6737 O Ho:p = 50.1 and He: p / 55.6737 O Ho:u = 55.6737 and Ha:/ / 50.1 O Ho:p = 50.1 and Ha : p 50.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 37 with mean 55.6737 and a standard deviation of 11.3163. What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) o O greater than a This test statistic leads to a decision to... O reject the null hypothesis O prove the null hypothesis O fail to reject the null hypothesis O prove the alternate hypothesis As such, the final conclusion is that... O There is sufficient evidence to reject the claim that the mean age of a certain voting demographic is not equal to 50.1. There is not sufficient evidence to reject the claim that the mean age of a certain voting demographic is not equal to 50.1. There is sufficient evidence to conclude the claim that the mean age of a certain voting demographic is not equal to 50.1. There is not sufficient evidence to condlude the claim that the mean age of a certain voting demographic is not equal to 50.1