HI! please help me with this problem

(Note to TA / tutor: this student's textbook uses the sample size requirement that is consistent with the CLT (10, rather than 15).) Severe acute respiratory syndrome (SARS) is a viral respiratory illness that was first reported in Asia in 2003 and then spread worldwide to near pandemic levels before eventually being contained. A study examined a random sample of 61 patients diagnosed with SARS to describe the disease's clinical progression. One finding was that, while fever and pneumonia initially improved after treatment in all 61 patients, 52 patients developed recurrent fever. (a) Can we use the large-sample confidence interval formula from the CLT to estimate the proportion p of the population of patients treated for SARS who develop recurrent fever? Why or why not? O Yes, because the number of patients who did develop recurrent fever = 52 > 10, and the sample was random. No, because the number of patients who didn't develop recurrent fever = 9 30, and the sample was random. Yes, because the number of patients who did develop recurrent fever = 52 > 10, and the sample was random. (b) Use the finding above for an estimate of p to calculate the necessary sample size to be able to use the large-sample confidence interval formula from the CLT. .8525 X (c) Use the finding above for an estimate of p to calculate the necessary sample size for a/an 85% confidence interval if the researchers want a margin of error no wider than 3 percentage points. (Be sure to use the z-table to get the z-score for this problem.) 320 X