Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a joumal kept by Mother 63.0 66.5 59.0 65.5 63.0 65.0 66.5 62 5 64.0 63.0 0 Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the Daughter 57.0 69.2 65 0 63.0 63.7 65.0 63.2 63.5 65.5 64.0 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. In this example, Ap 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: Ha in Hy - Hd vin (Type integers or decimals. Do not round.) Identify the test statistic. 1= (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 warrant rejection of the claim that there is no difference in heights between mothers and their first daughters