I need to help for Business Statistics! What\'s the answer and the number in the

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I need to help for Business Statistics!

What's the answer and the number in the gray rectangle blank?

Managers at a local phone service wireless retail center have a goal that 73% of the center's customers will have to wait less than five minutes for service. The data below shows the wait times of a random sample of 25 customers in minutes. Does this sample provide evidence that management's goal is being achieved? Click the icon to view the random sample of wait times. Does this sample provide evidence that management's goal is being achieved? (Round to four decimal places as needed.) O A. No, because the probability of observing a sample proportion as low as the one in this sample given a population proportion of 0.73 is which is less than 0.05. O B. Yes, because the probability of observing a sample proportion as low as the one in this sample given a population proportion of 0.73 is which is less than 0.05. O C. Yes, because the probability of observing a sample proportion as low as the one in this sample given a population proportion of 0.73 is hich is more than 0.05. O D. No, because the probability of observing a sample proportion as low as the one in this sample given a population proportion of 0.73 is which is more than 0.05. Sample wait Times 4.6 5.9 2.9 9.6 3.9 3.7 0.2 7.7 4.6 5.9 4.4 2.3 3.9 9.4 6.7 5.8 4.4 0.4 2.2 5.6 5.8 3.1 2.2 2.1 4.4 Click to select and enter your ans Print Done All parts showing Check Answer

Explanation / Answer

here p=0.73

n=25

std error =(p(!-p)/n)1/2 =0.0888

phat =16/25=0.64 (as 16 have less then 5 minuets out of 25)

here test stat z=(phat-p)/std error =(0.64-0.73)/0.0888=-1.0136

for above test stat ; p value =0.1554

option C Yes, because the probabilty of ...0.73 is 0.1554 which is higher then 0.05.

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