Data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education. An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education. Do these data provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal? (Null and Alternate Hypothesis and Rejection Region) [Group 1: Urban; Group 2: Suburban] A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.96 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 > 1.64 D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -1.96 or z > 1.96 E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t z -1.64 or z > 1.64 (Test Statistic) A. z = -0.214 B. z = -2.296 C. z = -0.205 D. z = 13.071 E. z = 2.225 (p-value and conclusion) A. p = 0.415; RHo (Sufficient evidence exists to reject the claim) B. p = 0.831; FRHo (No sufficient evidence to reject the claim) C. p = 0.585; FRHo (No sufficient evidence to reject the claim) D. p = 0.585; RHo (Sufficient evidence exists to reject the claim) E. p = 0.415; FRHo (No sufficient evidence to reject the claim)
Data taken from a random sample of 60 students chosen from the student population of a large urban high school indicated that 36 of them planned to pursue post-secondary education. An independent random sample of 50 students taken at a neighboring large suburban high school resulted in data that indicated that 31 of those students planned to pursue post-secondary education. Do these data provide sufficient evidence at the 5% level to reject the hypothesis that these population proportions are equal?
(Null and Alternate Hypothesis and Rejection Region)
[Group 1: Urban; Group 2: Suburban]
A. Ho: p1 = p 2; Ha: p 1 < p 2; Rejection Region: z < -1.96
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 > 1.64
D. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: z < -1.96 or z > 1.96
E. Ho: p 1 = p 2; Ha: p 1 ≠ p 2; Rejection Region: t z -1.64 or z > 1.64
(Test Statistic)
A. z = -0.214
B. z = -2.296
C. z = -0.205
D. z = 13.071
E. z = 2.225
(p-value and conclusion)
A. p = 0.415; RHo (Sufficient evidence exists to reject the claim)
B. p = 0.831; FRHo (No sufficient evidence to reject the claim)
C. p = 0.585; FRHo (No sufficient evidence to reject the claim)
D. p = 0.585; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.415; FRHo (No sufficient evidence to reject the claim)
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