Listed below are the numbers of %Mds spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 16,220 25,563 1462 7875 18,447 14,965 14,110 25,646 P, Female 25,035 13,551 18,265 17,496 12,608 16,962 15,746 19,111 a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females In this example, 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 words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis testo Ho: gd = @word(s) HI : gd < @word(s) (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value_ (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, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that males speak fewer words in a day than females. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval is word(s) < < word(s). (Round to the nearest integer as needed.) What feature of the confidence interval leads to the same conclusion reached in part (a)? Since the confidence interval contains