The power of the sample to detect the observed difference in population proportions (a = 0.05, one-sided). Power (%) =  __________ The sample size needed to obtain 80% power to detect the observed difference in proportions as being statistically significant (a = 0.05).  ________________

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At a certain​ college, it is estimated that at most 20% of the students ride bicycles to class.  The Student Advocacy Group claims that the proportion is higher than 20% and wants the University to increase infrastructure support for more cyclists.  In a random sample of 94 college​ students, 27 are found to ride bicycles to​ class.  Use a 0.05 level of significance.  The null hypothesis is that the population proportion is 20%.  The alternate hypothesis is that the population proportion is greater than 20% (one-sided).  

  1. The power of the sample to detect the observed difference in population proportions (a = 0.05, one-sided).

Power (%) =  __________

The sample size needed to obtain 80% power to detect the observed difference in proportions as being statistically significant (a = 0.05).  ________________

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