Now we will use the data collected from our class as a sample that will be used
ID: 3183712 • Letter: N
Question
Now we will use the data collected from our class as a sample that will be used to estimate the proportion of US college students who like horror movies. In our class X people said they enjoyed horror movies. You will receive 10 points for a complete, correct, proofread answer.
1. Are the assumptions and conditions for using the Normal distribution to model the sampling distribution of the sample proportion of college students who enjoy horror movies met? Show your work and give details about why you believe the assumptions and conditions are or are not met.
2. Even if the assumptions and conditions in #1 are not met, use the data from our sample to create a 95% confidence interval for the proportion of all US college students who enjoy horror movies. Show your work or describe how you used your calculator to arrive at the answer.
3. Interpret your confidence interval using correct language.
t 3r 6.02 46 3. Shmatand daw 1.46 o 3.. 44 64 Au 26 3.1 t 44 6.02 3, 2 1.46 t .48 3 x 46 2,- lExplanation / Answer
1)here as np<10 ; conditions for using the Normal distribution to model the sampling distribution of the sample proportion of college students who enjoy horror movies not met
2)for 95% z =1.96
std error =(p(!-p)/n)1/2 =0.1463
hence confidence interval =estimated p-/+ t*Std error =0.0233 ; 0.5967
3) above confidence interval provide 95% probability to contain true value of population proportion
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