Question

A university has found over the years that out of all the students who are offered admission, the proportion who accept is .60. After a new director of admissions is hired. the university wants to check if the proportion of students accepting has increased significantly. Suppose they offer admission to 1250 students and 823 accept. Is this 12. evidence at the a = 01 level that there has been a significant increase in proportion of students accepting admission? 13. A random sample of 300 individuals showed 25% are interested in purchasing a Google Nexus. My research claim is that the population proportion interested in purchasing a dGoogle Nexus is different from 20%. Using the large sample test, state your statistical hypotheses, your test statistic formula, the value of your test statistic, and the p-value. Interpret your p-value. Of 801 surveyed active LinkedIn members, 328 reported that they are planning to spend at least $1,000 on consumer electronics in the coming year. At the 0.05 level of significance, is there evidence that the proportion of all LinkedIn members who plan to spend at least $1,000 on consumer electronics in the coming year is different from 35%? 14. One of the issues facing organizations is increasing diversity throughout an organization. One of the ways to evaluate an organization's success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical center determined that 9 of 17 employees in a particular position were female, whereas 55% of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the proportion of females in this position at this medical center is different from what would be expected in the general workforce? 15.

Answer 1

12)

given that sample propohon, pa 823 1250 p = 0.66 Ho : p=0.60 Hi P> 6.60 let los be am Dool, Z = 2.33 we defect Ho, if Zseat> z crp/2.33 under Ho Zerot - þ-p Ipa-p? z = 0.66-0.60 10.60(1-0.60) V -1050 Z = 4.33 :: stat > Zor we refect Ho. .. we can conclude that there has been a significant increase in proportion of students accepting admission