Question 4

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 15,967 26,306 1395 7833 18,680 15,981 13,605 25,029 Female 23,714 12,886 17,995 18,046 1 13,285 16,419 15,988 18,456 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, uq 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 word(s Ho: Ha word(s) Ho : Ha V word(s) Hy : Ha Jim word(s Hy : Hd S) Hy : Ha V word(s) (Type i In (Type il ima (Type integers or decimals. Do not round.) Identify ti Identify ic Identify the test statistic. 1= t =] de t=(Round to two decimal places as needed.) Identify Identify Identify the P-value. P-value t P-value to P-value = (Round to three decimal places as needed.) What is What is What is the conclusion based on the hypothesis test? Since t 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. greater than fail to reject is not less than or equal to reject IS 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)