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.16,289 26,617 1457 8067 18,417 16,054 14,264 24,91824,069 13,795 17,768 17,931 13,444 17,307 16,30818,738MaleFemalea. 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, μg 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 bythe male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?Ho: Hdword(s)H₁: Ha▼word(s)(Type integers or decimals. Do not round.)C▼ 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 ismales speak fewer words in a day than females.the significance level,the null hypothesis. Thereb. 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 sameconclusion reached in part (a)?The confidence interval is word(s) << word(s).(Round to one decimal place as needed.)What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval containssufficient evidence to support the claim thatthe null hypothesis.

The question is about paired t test Given : To find : a ) Test the claim that male speaks fewer…

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. 16,289 26,617 1457 8067 18,417 16,054 14,264 24,918 24,069 13,795 17,768 17,931 13,444 17,307 16,308 18,738 Male Female 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, " 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: Hd V word(s) word(s) H₁: Ha (Type integers or decimals. Do not round.)