The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) September 74 56 63 64 57 94 63 52 68 during their freshman year. Listed in the accompanying table are weights (kg) of April 77 55 66 60 59 105 64 57 68 randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, He is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha kg H1 : Hd V kg (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is the significance level, the null hypothesis. There sufficient evidence to support the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April