According to Gallup Pannel, the proportion of Americans that are afraid of contracting the COVID-19 virus is p = 0.75 Yo

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According to Gallup Pannel, the proportion of Americans that areafraid of contracting the COVID-19 virus is p = 0.75 You plan totake a random sample of 31 students at BYU-Idaho and calculate theproportion of those who are similarly afraid of contracting thevirus. You want to see if the proportion among BYU-Idaho studentsis different than the national proportion. Use this information toanswer the next three parts .
Part 1: What is the mean of the distribution of all such sampleproportions?
part 2: What is the standard deviation of the distribution ofall such sample proportions?
Part 3: What is the shape of the distribution of all such sampleproportions? a.Approximately normal, because the sample size is greater than30b. Not normal, because the sample size is less than 30 c.Approximately normal, because np >= 10 and n(1 - p) >=10 d. Not normal, because the requirement of np >= 10 and n(1 - p)>= 10 is NOT satisfied.