0 I lone . . Students x Yo) MyMathl ab Homework ? @ Do Homework . Tina locx CSec

Question

0 I lone . . Students x Yo) MyMathl ab Homework ? @ Do Homework . Tina locx CSecure https/www.mathxl.com/Student/PlayerHomework aspx?homeworkld 487006442? : Apps F? DPL Web Portal Facebook M Email Indeed G Google Vectren D mySNHU MAT-240-X6801 Applied Statistics 18EW6 Homework: 2-2 MyStatLab: Module Two Problem S Score: 0 of 5 pts 14 of 15 (15 compl 8.2.7 Describe the sampling distribution of p. Assume the size of the population is 30,000 400, p 0.7 Choose the phrase that best describes the shape of the sampling distribution of p below O A. Not normal because n s0 05N and np(1-p) 2 10 B. Approximately normal because n s0.05N and np(1 -p) 10 ° C. Approximately normal because n s 0 05N and np(1-p) 2 10 OD. Not normal because n s0 05N and np(1-p)10 2

Explanation / Answer

Answer

first, we need to check whether the sampe size is smaller or greater than 5% of population size

population size is 30,000 and sample size is 400

So, 5% of 30000 is 0.05*30000 = 1500 and 400 is less than equal to 1500

so, first condition for normal distribution is met

Now, we need to check np(1-p) greater than or equal to 10 condition

we have p = 0.7, n = 400

so, we get

400*0.7*(1-0.7) = 400*0.7*0.3 = 84

so, 84 is greater than or equal to 10

Thus, distribution is normal

we can see both conditions are met and these two conditions are correctly presented in option C

so, option C is correct answer

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