I'm not pretty sure whether I did it right or not. Could some one please help me about this question? Thank you!

A restaurant chain regularly surveys its customers. On the basis of these surveys, the management of the chain claims that 75% of its customers rate the food as excellent.A consumer testing service wants to examine this claim. They take a simple random sample of 600 customers and ask them each to rate the tood. Assume that the restaurant chain's claim is true e that the true proportion is indeed 0.75). What is the general shape of the sampling distribution of the sample proportion ,6 of customers who are satisfied? 0 Symmetric but not normal. because the data are binary. 0 Normal. because of the Central Limit Theorem. O Skewed, because the true proportion is much greater than 0.50. Cu Cannot tell without plotting the raw data. Give the mean and standard deviaiion of the sample proportion ,5. Enter the man in M dec'nai places, 0.10:. Enter the standard dewhon to forRdecnai phoes 0m) 0 Mean=n15l3J 0 SD: 10131 J Again assuming that the chain's claim is tme .e. that the true proportion is indeed 0.75), what is the probability that, in a simple random sample of 600 customers. less than 70% rate the food as excellent? Use the mean and standard deviation you computed above). (Enter the probability to fo_ur cl'ecii'l'iai pieces in the format 0.1m . Do NOTconvert to percentages.) o 'lburAnswer: 0.0024 Suppose that in arandom sample of 600 customers, 420 rate the food as excellent. Does this support or refute the reaurant chain's claim? Hint: Refer to previous question. 0 Cannot tell 0 Rene O Sunport Redo the previous calculations with a simple random sample of size 1000. (Enter the mean to M dec'nal'plaees, 0.xx. Enter the standard dew'abbn to fadHdec'nalplaees Dmx. Enter the pmbeb'iry to _ve decimalplaees in the fennel mx. Do NOT con-red to mammal 0 Mean: 750 0 SD = 13.68 0 Probability the: less than ?0% raie the food as excellent =