The Sampling Distribution of P-hat, The Sample Proportion. Includes Example problems.
What the sampling distribution of p-hat is.
How you use the Distribution of p-hat.
How you find a z-score for p-hat.
How you find a probability for p-hat.
00:00 Introduction
00:28 Finding p-hat, the sample proportion
01:18 The sample proportion varies from sample to sample
02:10 p-hat is a variable!
02:24 the Central Limit Theorem
03:11 The Sampling Distribution of p-hat
07:18 The expected value of p-hat
09:24 Example Problems (1-4)
12:31 The Standard Deviation of p-hat
15:23 Calculating the Standard Deviation
17:12 Normalizing the sample proportion by finding its Z-score
19:07 Answering Question #4
20:12 Finding the area under a Normal Distribution with a TI-83 (or TI-84) Calculator
22:05 Why are sampling distributions important?
23:53 Summary
"p-hat" is the proportion of a sample. Since it is a number calculated from a sample, it is a "statistic". P-hat can be used to estimate P, the proportion of the entire population. (P is a parameter).
Пікірлер: 29
Wonderful Video. I liked how you made the connections on why this concept matters in real world situations and how it relates to other concepts; great for understanding the bigger picture.
@SulockMath
2 жыл бұрын
thank you for the thoughtful comment! Glad you were able to get something out of the video.
Literally you are a king
@SulockMath
Жыл бұрын
lol. Preesh bro.
Should be used as a standard for videos on Stats
@SulockMath
2 жыл бұрын
Thank you! Very kind thing to say.
Very very good. The best I have seen to date
@SulockMath
2 жыл бұрын
Gosh! Thank you so much. That is quite a compliment. All the best.
thank you very much
@SulockMath
10 ай бұрын
You are very welcome. Thank you for the comment.
It was intuitive and awesome. Thank u
@SulockMath
3 ай бұрын
Thank you so much. I appreciate knowing it was helpful.
so useful! thanks so much.
@SulockMath
10 ай бұрын
Glad it was helpful. Thanks for the comment
Thank you so much!!
@SulockMath
2 жыл бұрын
You’re very welcome!
Thank you so much
@SulockMath
6 ай бұрын
Thanks for the comment. Happy New Year!
this was amazing tysm
@SulockMath
8 ай бұрын
Thank you for the comment! Very glad it was helpful.
nicely explained
@SulockMath
10 ай бұрын
Thank you!
In the part 20:12 where did you get the upper value 1000? Im confused please help me 🙏
@SulockMath
2 ай бұрын
That "upper" value in a ti-83/84 can be any "big" number. (`big' here means many standard deviations above the mean). You can experiment and see you'll get the same result using numbers like 1000, 10000, 100000, for the "upper".
Does it mean we should to take larger n for cases where the SD is higher like skyscrapers and smaller n where SD is not higher like heights of people?
@SulockMath
3 ай бұрын
I think that somewhat depends on how precise you want to be. It is probable you don't care about the heights of tall things to the same degree of accuracy as the height of small things.
This sampling is with or without replacement to find p hat? Thank u
@SulockMath
3 ай бұрын
If a population is large, sampling without replacement is basically the same as sampling with replacement.
@gooddeedsleadto7499
3 ай бұрын
@@SulockMath 👍