A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. For the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant at the 1% level? (Null and Alternate Hypothesis and Rejection Region) [Group 1: Private University; Group 2: Public University] A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -2.33 B. Ho: p 1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.64 C. Ho: p 1 = p 2; Ha: p 1 > p 2; Rejection Region: z > 2.33 D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -2.58 or z > 2.58 E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t < -3.02 or t > 3.02 (Test Statistic) A. z = 1.372 B. z = 1.398 C. z = 69.517 D. z = 1.400 E. z = 6.508 (p-value and conclusion) A. p = 0.919; RHo (Sufficient evidence exists to reject the claim) B. p = 0.162; RHo (Sufficient evidence exists to reject the claim) C. p = 0.919; FRHo (No sufficient evidence to reject the claim) D. p = 1.838; RHo (Sufficient evidence exists to reject the claim) E. p = 0.162; FRHo (No sufficient evidence to reject the claim)
A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. For the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant at the 1% level?
(Null and Alternate Hypothesis and Rejection Region)
[Group 1: Private University; Group 2: Public University]
A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -2.33
B. Ho: p 1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.64
C. Ho: p 1 = p 2; Ha: p 1 > p 2; Rejection Region: z > 2.33
D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -2.58 or z > 2.58
E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t < -3.02 or t > 3.02
(Test Statistic)
A. z = 1.372
B. z = 1.398
C. z = 69.517
D. z = 1.400
E. z = 6.508
(p-value and conclusion)
A. p = 0.919; RHo (Sufficient evidence exists to reject the claim)
B. p = 0.162; RHo (Sufficient evidence exists to reject the claim)
C. p = 0.919; FRHo (No sufficient evidence to reject the claim)
D. p = 1.838; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.162; FRHo (No sufficient evidence to reject the claim)
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