Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.4. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. Not normal because n0.05N and np(1 - p) < 10. Approximately normal because n 0.05N and np(1 - p) < 10. Not normal because n0.05N and np(1 - p) 10. Approximately normal because n 0.05N and np(1 - p) 10. Determine the mean of the sampling distribution of p. H = 0.4 (Round to one decimal place as needed.) p Determine the standard deviation of the sampling distribution of p. 0 = 0.069282 (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 22 or more individuals with the characteristic? That is, what is P(p 0.44)? P(p 0.44)= (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) 0.002- J.0034 0.13 0.1562 0.184 0.1814 0.02 Standard Normal Distribution 01,03 0.000 0.000 02700 03050 201 02816 0.344 0.3409 0.3372 0.3336 0.3300 326 0.3192 0.3156 02776 0.3121 04602 0.4960 4880 04840 04801 0.4721 0.4681 04641 0.01 0.02 0,013 01,04 2 0203945 333 33 222 Standard Normal Distribution 0,00 0.01 0,02 0.03 5837 1021/ 07612 0.7939 8186 0.8438 0.9826 9041 0,05 01.08 5087 06026 06103 0.719 0776- 08106 0.8554 0.8599 0.9406 0.9420 09761 09817 00031 00034 09946 0.9948 0.9961 0.9961 0.9963 1650 1650 0094 008 9080 0005 0.9992 0000% 0001 0.999. 0.9994 0.9994 0.9994 0.999;