Question

98 Points And Brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A poll asked 15 men in two age groups, 30 and younger and older than 30, whether they had facial hair (mustache, beard, sideburns, etc.). The results are recorded in the table. Person Age group Facial hair 1 30 and younger Yes 2 30 and younger No 3 Older than 30 No 4 30 and younger No 5 Older than 30 No 6 Older than 30 Yes 7 Older than 30 Yes 8 Older than 30 No 9 30 and younger Yes 10 30 and younger Yes 11 Older than 30 Yes 12 30 and younger Yes 13 Older than 30 Yes 14 30 and younger No 15 Older than 30 Yes (a) Create a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many men did not have facial hair? (b) Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answers as decimals written to three decimal places. (c) What percentage of men older than 30 had facial hair?

Answer 1

The first thing you need to do is classify all the men into 4 groups which are:
1) 30 and younger with facial hair: 4
2) older than 3 with facial hair: 5
3) 30 and younger with facial hair: 3
4) older than 30 without facial hair: 4


Question (a): Make a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many did not have facial hair.

                                   with facial hair          without facial hair          total
30 & younger                         4                                     3                          7
older than 30                         5                                     3                          8
total                                        9                                    6                          15
From the data you can see that:
7 men were 30 and younger and 6 men did not have facial hair.


Question (b): Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answer as decimals written to three decimal places.

                               with facial hair          without facial hair          total
30 and younger             4/15                           3/15 = 1/5                 7/15
older than 30             5/15 = 1/3                      3/15 = 1/5                 8/15
total                            9/15 = 3/5                      6/15 = 2/5                   1


Question c: What percent of men older than 30 had facial hair?
The percent is equal to the relative frequency times 100% so in this case it is equal to (1/3) * 100% = 33.33%

Hope this helps!!!   :)