Question

These two are similar problems, but how do we find the critical value on the calculator, or how do we find it overall?

50 Use the given data to find the minimum sample size required to estimate the population proportion. 3) Margin of error: 0.004; confidence level: 95%; p and q unknown 3) 4) 4) Margin of error: 0.009; confidence level: 99%; p and q unknown

Answer 1

Answer:- in question p- hat and q- hat are unknown .

So we use p-hat =0.5 and q-hat =0.5

Because the maximum value of p-hat*q-hat occurs where p-hat =0.5 ( it is found by taking deviation of p-hat*(1-p-hat) and settings it equal to zero to find the maximum value )

3 ME=0.004 Confidence Interval = 95.1. therefore, Z? he X PL-E (M.E)? ? 2 2². (M.EE ex b The maximum value of $. * § occuss p=0.5 Wheron thereforce 82015 at 95.4. y Z=1196.

(1.962 x ½ x + 2 h to-604)2 (1.962 To voy)2 x 0.5*0-F 3.8416 0.000016 x0.25 60,025 y MiE=0.009 confidence internal = 99./. therefore, again b = 8 = 0.5 (the maximum value of Ê* § occuss when =0.5 so we use ß = 50-5) ha (ME)2 x Blo 2

а! Q9 .. , 7. 2.S76 thоѕе fоr , h- 22 (ЧЕ 12 х— БLt- Б) Е (2. 162 X D-TX): 1 (0-603) 2 с б. 63s116 X Oo 25 О:00 6 8) - обчхо. 2 ОЧ81 — 2648 | Answers 3) n = 60 02 5 ч) no 2048/