Q1:(a) Make a relative frequency table of the data. Enter your answers to three decimal places.
Cell Phone Owned
Relative Frequency
Android smartphone
iPhone smartphone
Blackberry smartphone
Cell phone not smartphone
No cell phone
Total
(b) Round your answers to the following questions to one decimal place.
What percent of the survey respondents do not own a cell phone?
%
What percent own a cell phone but not a smartphone?
%
What percent own a smartphone?
---------
Given information:
What Type of Cell Phone?
A 2012 survey1 examined cell phone ownership by US adults. The results of the survey are shown in the table below.
Cell Phone Owned
Frequency
Android smartphone
458
iPhone smartphone
437
Blackberry smartphone
141
Cell phone not smartphone
924
No cell phone
293
Total
2253
No cell phone = 293/2253 = ?
Cell not smart = 924/2253 = ?
Smartphone = (458+437+141)/2253 = ?
Divide and multiply by 100 for percentage.
To create a relative frequency table, follow these steps:
1. Calculate the relative frequency for each category by dividing the frequency of each category by the total number of observations.
Android smartphone: 458/2253 = 0.203 (rounded to three decimal places)
iPhone smartphone: 437/2253 = 0.194 (rounded to three decimal places)
Blackberry smartphone: 141/2253 = 0.063 (rounded to three decimal places)
Cell phone not smartphone: 924/2253 = 0.410 (rounded to three decimal places)
No cell phone: 293/2253 = 0.130 (rounded to three decimal places)
2. Create a table with the categories and their relative frequencies:
Cell Phone Owned | Relative Frequency
----------------------------------------
Android smartphone | 0.203
iPhone smartphone | 0.194
Blackberry smartphone | 0.063
Cell phone not smartphone | 0.410
No cell phone | 0.130
To calculate the percentages, multiply the relative frequencies by 100.
What percent of the survey respondents do not own a cell phone?
Percentage = 0.130 * 100 = 13.0% (rounded to one decimal place)
What percent own a cell phone but not a smartphone?
Percentage = 0.410 * 100 = 41.0% (rounded to one decimal place)
What percent own a smartphone?
Since owning a smartphone includes owning an Android, iPhone, or Blackberry smartphone, you need to add up the relative frequencies of these categories.
Percentage = (0.203 + 0.194 + 0.063) * 100 = 46.0% (rounded to one decimal place)
To create a relative frequency table, we need to calculate the relative frequency for each category.
(a) Relative frequency table:
Cell Phone Owned | Relative Frequency
-------------------------------------------
Android smartphone | 458 / 2253 = 0.203
iPhone smartphone | 437 / 2253 = 0.194
Blackberry smartphone | 141 / 2253 = 0.063
Cell phone not smartphone | 924 / 2253 = 0.410
No cell phone | 293 / 2253 = 0.130
-------------------------------------------
Total | 1.000
(b) Percentage calculations:
What percent of the survey respondents do not own a cell phone?
Percentage = (Number of respondents with no cell phone / Total number of respondents) x 100
Percentage = (293 / 2253) x 100 = 13.0%
What percent own a cell phone but not a smartphone?
Percentage = (Number of respondents with cell phone, but not a smartphone / Total number of respondents) x 100
Percentage = ((458 + 437) / 2253) x 100 = 41.4%
What percent own a smartphone?
Percentage = (Number of respondents with a smartphone / Total number of respondents) x 100
Percentage = ((458 + 437 + 141) / 2253) x 100 = 45.9%