K 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 05 significance level to test the claim that there is no difference in heights between mothers and their first daughters COLL Mother Daughter 67 0 65 0 65 5 63 0 65 0 63 0 60 0 65 0 63 0 68 0 66 0 64 0 65 2 63 0 65 0 63 0 61 7 65 5 63 5 70 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 H Hd 0 in Type integers or decimals Do not round Identify the test statistic t 0 25 Round to two decimal places as needed Identify the P value P value 0 80 Round to three decimal places as needed What is the conclusion based on the hypothesis test Since the P value is greater than the significance level do not reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that there is no difference in heights between mothers and their first daughters