Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 40 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance.   a) State the null and alternate hypotheses. select one: H0: p < 0.67; H1: p = 0.67 H0: p = 0.67; H1: p ≠ 0.67 H0: p = 0.67; H1: p > 0.67 H0: p = 0.67; H1: p < 0.67   b) What sampling distribution will you use? select one: The Student's t, since np < 5 and nq < 5. The standard normal, since np > 5 and nq > 5. The Student's t, since np > 5 and nq > 5. The standard normal, since np < 5 and nq < 5.   c) What is the value of the sample test statistic? (Round your answer to two decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 40 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 1% level of significance.
 
a) State the null and alternate hypotheses. select one:
H0: p < 0.67; H1: p = 0.67
H0: p = 0.67; H1: p ≠ 0.67
H0: p = 0.67; H1: p > 0.67
H0: p = 0.67; H1: p < 0.67
 
b) What sampling distribution will you use? select one:
The Student's t, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
The standard normal, since np < 5 and nq < 5.
 
c) What is the value of the sample test statistic? (Round your answer to two decimal places.)
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