Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1): Fourth-Years (Pop. 2): n 1 =84, n 2 =87, x 1 =34 x 2 =37 First-Years (Pop. 1):n1=84,x1=34Fourth-Years (Pop. 2):n2=87,x2=37 Is there evidence, at an α=0.055 α=0.055 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested (to at least three decimal places, without rounding in intermediate steps). Remember that for the test of equality of two proportions, the SE requires the use of the pooled proportion. A. The value of the standardized test statistic: B. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H 1 H1 . B. Do Not Reject H 0 H0 . C. Reject H 0 H0 . D. Reject H 1 H1 .
First Years (Group 1)
n1 = 84
p1 = 34/84 = 0.405
Std Dev(s1) = sqrt(p1*(1-p1)/n1) = 0.054
Fourth Years (Group 2)
N2 = 87
P2 = 37/87 = 0.425
Std Dev(s2) = sqrt(p2*(1-p2)/n2) = 0.053
Pooled Variance(sp2) = {(n1-1)s12 + (n2-1)s22}/((n1 + n2 – 2) = 0.003
Hence, Sp = 0.053
Alpha = 0.055
Null and Alternate Hypothesis
H0: µ1- µ2 = 0
Ha: µ1- µ2 <> 0
Test Statistic (t) = (p1-p2)/sp = (0.405-0.425)/0.053 = -0.39
p-value = TDIST(0.39,169,2) = 0.7
Since the p-value is greater than 0.055, we fail to reject the null hypothesis.
Two random samples are taken, one from among first-year students and the other from among fourth-year...
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):n1=80,n2=87,x1=35x2=48 Is there evidence, at an α=0.03 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate...
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):?1=88,?2=98,?1=46?2=53 Is there evidence, at an ?=0.04 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate...
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes'' are given below: First-Years (Pop. 1):Fourth-Years (Pop. 2):n1=95,n2=93,x1=48x2=58 Is there evidence, at an α=0.05 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate...
(2 points) Two random samples are taken, one from among first year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code A summary of the sample sizes a group answering yes" are given below: nd number of each First-Years (Pop. 1): ni - 88, xi -42 Fourth-Years (Pop. 2): n2 -83, x2 4 Is there evidence, at an a 0.01 level of significance, to conclude...
(2 points) Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifiying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n 88. x42 Fourth-Years (Pop. 2): n2-83, x2 = 47 idence, at an α-0.01 level of significance, to conclude that there is a difference in between...
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below: UVA (Pop. 1): n1=100,p̂1=0.716 UNC (Pop. 2):n2=87,p̂2=0.602 Find a 92.2% confidence interval for the difference p1−p2p1−p2 of the population proportions.
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below: UVA (Pop. 1): UNC (Pop. 2): n 1 =84, n 2 =81, p ^ 1 =0.749 p ^ 2 =0.555 UVA (Pop. 1):n1=84,p^1=0.749UNC (Pop. 2):n2=81,p^2=0.555 Find a 93.3% confidence interval for the difference p1−p2 of the population proportions. (Give your...
(1 point) Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below: UVA (Pop. 1):UNC (Pop. 2):n1=91,n2=81,p^1=0.784p^2=0.563 Find a 96.3% confidence interval for the difference p1−p2 of the population proportions. Confidence interval =
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes'' are given below: UVA (Pop. 1):UNC (Pop. 2):n1=80,n2=99,p^1=0.736p^2=0.602 Find a 97.9% confidence interval for the difference p1−p2 of the population proportions. (Give your answer as two values inside parentheses, separated by a comma, and rounded to at least three decimal...
(1 point) Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): 1, 91, PE 0.763 UNC (Pop. 2): 1 96. 0.611 Find a 92 2% confidence interval for the difference Pu P, of the population proportions, Confidence interval preview answe Entered Answer Preview