Male Female 29,419 20,289 14,080 25,333 3,847 3,889 29,803 16,848 26,048 13,826 8,566 17,312 22,859 9,901 19,333 19,727 26,565 13,517 22,316 18,322 12,970 16,361 11,046 13,802 10,666 15,251 21,649 22,025 17,301 4,859 2,623 19,767 21,847 21,412 8,491 19,912 19,832 14,966 15,650 13,37716,071 31,721 20,757 6,603 5,958 19,252 8,616 5,423 27,460 9,881 11,951 19,491 15,010 14,974 12,895 20,959 14,813 21, 185 17,630 11,341 13,779 33,261 9.948 7,484 19,525 11,477 19,022 10,813 10,504 31,580 13,217 21,903 15,428 17,085 9,569 17,562 21,076 21,669 11,482 16,981 15,613 18,579\fThe accompanying table lists the numbers of words spoken in a day by each member of 56 different randomly selected couples. Complete parts (a) and (b) below. Click the icon to view the data on words spoken in a day by the couples. ...) a. Use a 0.05 signicance level to test the claim that among couples, males speak fewer words in a day than females. In this example, pd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is dened as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test? H0: pd v r word(s) H141d v r word(s) (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 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)