( Grades - STAT 200 6379 Intro: x Assignments X Final Exam X + G A mylab.pearson.com/Student/PlayerTest.aspx?testid=241693109¢erwin=yes STAT 200 6379 Zaire Lewis 07/10/22 11:35 AM ? Test: Final Exam Question 19 of 20 > This test: 20 point(s) possible This question: 1 point(s) possible Submit test Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,640 27,290 1356 7586 19,325 16,006 13,543 25,085 Female 24,398 13,471 18,398 17,585 12,571 17,346 16,369 18,235 a. Use a 0.05 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, u. 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 test? Ho : Ha V word ( s ) Hy : Ha V word ( s ) (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 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)