Question

ew History Bookmarks Window Help com Find Schools C tion to Statistical Inference (2a of 3 discussion 5)- Mod 20 Group 3 Prompt Use the applet to select 20 different random samples of 100 part-time college students. For each sample the applet calculates the 95% confidence interval. How many of the 20 random samples do not contain the population proportion? is this what you expected? Explain. ciek te meran.. ต"dom sample ot ,00 students Population: PT college stadents Percent female: p-0.60 00 0.1 023 04 05 06 7 0.8 09 1.0 8 History Bookmarks Window Help ㅂ gcccd.instructure.com Find Schools Co to Statistical Inference (2a of 3 discussion 5) - Mod 20 Group 3 Prompt Use the applet to select 20 different random samples of 100 part-time college students. For each sample the applet calculates the 95% confidence interval. How many of the 20 random samples do not contain the population proportion? Is this what you expected? Explain. Click to generate a random sample of 100 students Population: T college students Percent female: p-0.80 0.102 0.3 0,4 0.5 0.6 0ア os 8

Answer 1

According to the given data we have,

n=20 and N=100

p^=n/N=0.2

So, confidence interval for population proportion would be as followed:

α/2 0.2x0.8 20 -0.2 +1.96x 0.2 +0.175 (0.025,0.375)

confidence interval for those who do not contain population proportion would be as followed:

=0.8+1.96x,jo.2×0.8 0.8+0.175 (0.625,0.975) 20