hw08.pdf - hw08 October 26 2022 1 : # Initialize Otter...

hw08
October 26, 2022
[1]: # Initialize Otter
import otter
grader = otter . Notebook( "hw08.ipynb" )
1 Homework 8: Confidence Intervals
Helpful Resource:
• Python Reference : Cheat sheet of helpful array & table methods used in Data 8!
Recommended Reading :
• Estimation
Please complete this notebook by filling in the cells provided. Before you begin, execute the
cell below to setup the notebook by importing some helpful libraries. Each time you
start your server, you will need to execute this cell again.
For all problems that you must write explanations and sentences for, you must provide your
answer in the designated space. Moreover, throughout this homework and all future ones, please
be sure to not re-assign variables throughout the notebook! For example, if you use
max_temperature in your answer to one question, do not reassign it later on. Otherwise, you will
fail tests that you thought you were passing previously!
Deadline:
This assignment is due Wednesday, 10/26 at 11:00pm PT . Turn it in by Tuesday, 10/25 at
11:00pm PT for 5 extra credit points. Late work will not be accepted as per the policies page.
Note: This homework has hidden tests on it. That means even though tests may say
100% passed, it doesn’t mean your final grade will be 100%. We will be running more
tests for correctness once everyone turns in the homework.
Directly sharing answers is not okay, but discussing problems with the course staff or with other
students is encouraged. Refer to the policies page to learn more about how to learn cooperatively.
You should start early so that you have time to get help if you’re stuck. Offce hours are held Monday
through Friday in Warren Hall 101B. The offce hours schedule appears on
fa22/officehours/ .
[2]: # Don't change this cell; just run it.
1

import numpy as np
from datascience import *
# These lines do some fancy plotting magic.",
import matplotlib
% matplotlib inline
import matplotlib.pyplot as plt
plt . style . use( 'fivethirtyeight' )
import warnings
warnings . simplefilter( 'ignore' , FutureWarning )
1.1 1. Thai Restaurants in Berkeley
Oswaldo and Varun are trying to see what the best Thai restaurant in Berkeley is. They survey 1,500
UC Berkeley students selected uniformly at random and ask each student what Thai restaurant is
the best. ( Note: This data is fabricated for the purposes of this homework. ) The choices of Thai
restaurants are Lucky House , Imm Thai , Thai Temple , and Thai Basil . After compiling the results,
Oswaldo and Varun release the following percentages, percentages of votes that each restaurant
received, from their sample:
Thai Restaurant Percentage
Lucky House 8%
Imm Thai 53%
Thai Temple 25%
Thai Basil 14%
These percentages represent a uniform random sample of the population of UC Berkeley students.
We will attempt to estimate the corresponding parameters , or the percentage of the votes that each
restaurant will receive from the population (i.e. all UC Berkeley students). We will use confidence
intervals to compute a range of values that reflects the uncertainty of our estimates.