I can't understand this assignment!! Statistic

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timer Asked: Nov 26th, 2018
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Probability Reasoning statistic homework I attached the file below. If anyone is willing to work on it for me that would me very helpful.

I can't understand this assignment!! Statistic
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apradeep92
School: UIUC

Attached.

7. Interpretation of confidence interval:
We are 95% confident that the true population parameter ‘percentage of seniors minus percentage of
freshman getting their first choice of courses’ is between 29.5% and 38.5%.

8.
From given data,
𝑝̂ = 0.25
𝑀𝑎𝑟𝑔𝑖𝑛 𝑜𝑓 𝐸𝑟𝑟𝑜𝑟(𝐸) = 0.03
For 95% confidence interval, 𝛼 = 0.05
For 𝛼 = 0.05, 𝑧𝛼 = 1.96
2

𝑧𝛼
Sample size (𝑛) = 𝑝̂ (1 − 𝑝̂ ) (

2

1.96 2
) = 800.33
) = 0.25 ∗ 0.75 ∗ (
𝐸
0.03
2

Round up 𝑛 to nearest integer, 𝑛 = 801
So, 801 students need to be surveyed from 95% confidence interval to be in 3% points.

9/10/11.
If proportion of woman and man abstaining from drinking alcohol are respectively 𝑝1 and 𝑝2 :
Null Hypothesis 𝑯𝟎 : 𝑝1 ≤ 𝑝2
Alternative Hypothesis 𝑯𝒂: 𝑝1 > 𝑝2
What test did you run: z-test
To calculate p-value:

𝑝
̂1 =

264
= 0.2316
1140

𝑝
̂2 =

214
= 0.1783
1200

We will use 𝑝1 − 𝑝2 = 0 (𝑎𝑠 𝑝𝑒𝑟 𝑎𝑠𝑠𝑚𝑒𝑑 𝑖𝑛 𝑛𝑢𝑙𝑙 ℎ𝑦𝑝𝑜𝑡ℎ𝑒𝑠𝑖...

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Anonymous
Excellent job

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