Question

Economy in Recession? The Quinnipiac University Poll conducts nationwide surveys as a public service and for research. This problem is based on the results of one such poll. Independent simple random samples of registered Democrats, Republicans, and Independents were asked, "Do you think the United States economy is in a recession now?' Of the 628 Democrats sampled, 220 responded "yes, as did 349 of the 471 Republicans sampled and 342 of the 646 Independents sampled. At the 1 % significance level, do the data provide sufficient evidence to conclude that a difference exists in the percentages of registered Democrats, Republicans, and Independents who. thought the U.S. economy was in a recession at the time?

Short answer

The first 44 presidents of the United States are divided into five age groups of equal breadth. In other words, the class breadth of 5 is used to create the relative frequency distribution. The stem-and-leaf graphic is made of of lines per stem. As a result, the stem-and-leaf diagram is found to correlate to the relative frequency distribution.

Step-by-step solution

Explanation

Make a stem-and-leaf diagram for the ages of the first 44 presidents of the United States using MINITAB, using one line per stem.

Procedure for MINITAB:

Step 1: Go to Graph > Leaf and stem.

Step 2: In the Graph variables, choose the AGE column.

Step 3: In the Increment box, type 10.

Step 3: Choose OK.

Output

Stem-and-Leaf Display: AGE

Stem-and-leaf of AGE N=44

Leaf Unit =1.0

9	4	236677899
(25)	9	0011112244444555566677778
10	6	0111244589

The stem contains only one line per stem, according to the MINITAB output. The president's age spans from 42 to 69 years old. In addition, the data's last digit symbolizes the leaf, while the first digit represents the stem.

Procedure

Make a stem-and-leaf diagram for the ages of the first 44 presidents of the United States using MINITAB, using two lines per stem.

Procedure for MINITAB:

Step 1: Select Graph>Stem and leaf

Step 2: In the Graph variables, choose the AGE column.

Step 3: In the Increment box, type 5.

Step 3: Choose OK.

Output

Stem-and-Leaf Display: AGE

Stem-and-leaf of AGE N=44

Leaf Unit =1.0

2	4	23
9	4	6677899
22	5	0011112244444
22	5	555566677778
10	6	0111244
3	6	589

The stem contains only one line per stem, according to the MINITAB output. The president's age spans from 42 to 69 years old. In addition, the data's last digit symbolizes the leaf, while the first digit represents the stem.

Explanation

The first 44 presidents of the United States are divided into five age groups of equal breadth. In other words, the class breadth of 5 is used to create the relative frequency distribution. The stem-and-leaf graphic is made of of lines per stem. As a result, the stem-and-leaf diagram is found to correlate to the relative frequency distribution.