Listed below are the heights of candidates who won elections and the heights of

Question

Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological order, so the corresponding heights from the two lists are matched. 71 72 69 73 72 75 70 72 70 73 75 Runner-Up 69 72 73 a. A well-known theory is that winning candidates are taller than the corresponding losing candidates. Use a 0.05 significance level to test that theory. Does height appear to be an important factor in winning an election? A. No, because the null hypothesis is rejected. O B. No, because the null hypothesis is not rejected. ° C. Yes, because the null hypothesis is rejected. 0 D. Yes, because the null hypothesis is not rejected. b. If you plan to test the claim in part (a) by using a confidence interval, what confidence level should be used? OA. 90% B. 5% ° C. 95% OD, 10% Construct a confidence interval using that level, then interpret the result. Di

Explanation / Answer

for above test:

a) as p value is less then 0.05 level ; option C; Yes; because null hypothesis is rejected

b)option A)

c)confidence interval =sample mean -/+ t*std error =0.7 <mean <3.8

option D is correct

winner Runnerup difference(d) 73 69 4 73 72 1 75 70 5 77 72 5 71 72 -1 75 73 2 72 70 2 69 69 0 mean 2.250 std deviaition 2.2520 sample size 8.0000 std error= std dev/(n)^(1/2) 0.7962 t stat= (d)/std error 2.8259 p value = 0.0128

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