A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer or acceptance in a graduate degree program in their major area of study. In a sample of 227 recent graduates this was true of 209 of them. The probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is about: a. 0.015
b. 0.001
c. 0.131
d, 0.084

The probability is  

Step-by-step explanation:

From the question we are told

  The population proportion is

 The sample size is  

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

Generally the standard deviation of this sampling distribution is  

=>  

=>  

Generally the sample proportion is mathematically represented as

=>

=>

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

=>

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8