Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. 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 0.01 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother 67.0 63.0 63.5 66.0 62.0 69.0 64.5 66.5 66.0 62.0 Daughter 66.0 70.5 63.7 66.0 66.0 70.0 67.0 61.0 63.0 64.5 In this example, Hd 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 daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? Ho Hd= 0 in. H₁ Hd 0 in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)