Question

3. For each of the following situations determine whether a one- or a two-tailed test is appropriate. Also, state the research and the null hypotheses. a. You are interested in finding out if the average household income of residents in your state is different from the national average household. According to the U.S. Census, for 2014, the national average household income is $53,657.15 b. You believe that students in small liberal arts colleges attend more parties per month than students nationwide. It is known that nationally undergraduate students attend an aver- age of 3.2 parties per month. The average number of parties per month will be calculated from a random sample of students from small liberal arts colleges income of elderly men. devote to their schoolwork during an average week? You prepare a survey to determine c. A sociologist believes that the average income of elderly women is lower than the average d. Is there a difference in the amount of study time on-campus and off-campus students e Reading scores for a group of third graders enrolled in an accelerated reading program are t. Stress (measured on an ordinal scale) is predicted to be lower for aduls who own dogs (or the average number of study hours for each group of students predicted to be higher than the scores for nonenrolled third graders other pets) than for non-pet owners. In 2016, the Pew Research Centerló surveyed 1,799 white and 1,001 black Americans about their ews on race and inequality. Pew researchers found "profound differences between black and Whute adults in their views on racial discrimination, barriers to black progress and the prospects whins on race and inequality. Pew researchers found "profound for black and ange." White and black respondents also disagreed about the best methods to achieve

please help with 4 & 6

Answer 1

(I am helping you with Q4)

(a)

Ho: The proportion of white respondents who support the tactic is the same as that of black respondents who support the tactic (p1 = p2)

Ha: The proportion of white respondents who support the tactic is significantly less than that of black respondents who support the tactic (p1 < p2)

(b)

n1 = 1799, n2 = 1001, p1 = 0.34, p2 = 0.41   

α = 0.05   

Reject Ho if z < -1.645

Average proportion, p = (n1p1 + n2p2)/(n1 + n2) = (1799 * 0.34 + 1001 * 0.41)/(1799 + 1001) = 0.36503

q = 1 - p = 1 - 0.36503 = 0.6350

SE = √[pq * {(1/n1) + (1/n2)}] = √(0.365025 * 0.634975 * ((1/1799) + (1/1001))) = 0.0190

z = (p1 - p2)/SE = (0.34 - 0.41)/0.0190 = -3.687

p- value = 0.0001

Since -3.687 < -1.645 we reject Ho and accept Ha

There is sufficient evidence that the proportion of white respondents who support the tactic is significantly less than that of black respondents who support the tactic

[Are you satisfied with my answer? If not please let me know. If yes, please give me a positive rating. Thanks.]