Question

19. Internet Use. In the article "Happier and Less Isolated: Internet Use in Old Age" (Journal of Poverty \& Social Justice, Vol. 21, Issue 1, pp. 33-45),researcher O. Lelkes explores the impact of Internet use. The following problem is based on the article. A random sample of adults yielded the following data on age and Internet usage.

Age
Usage		18-24	25-64	65+	Total
	Never	6	38	31	75
	Sometimes	14	31	4	49
	Every day	50	50	5	105
	Total	70	119	40	229

At the 1 % significance level, do the data provide sufficient evidence to conclude that an association exists between age and Internet usage?

Short answer

The histogram is there is just one peak, indicating that the distribution is uni modal. The histogram is also symmetric.

Step-by-step solution

Given Information

Limit grouping with a first class of 40-44 and a class width of 5 yields the frequency distribution.

The breadth of the first class is 5 and the first class is 40-44. The second class, for example, is 45-49, and so on. The highest observation is also 69. As a result, the final class is 65-69. As a result, below is the frequency distribution using limit grouping:

Limit grouping classed	Frequency
40-44	2
45-49	7
50-54	13
55-59	12
60-64	7
65-69	3
Total	44

Calculation

Find the following class grades:

The formula is used to calculate the class grades.

$ClassMarks=\frac{Upperclasslimit-Lowerclasslimit}{2}$

As a result, the class grades for the classes acquired are

Limit grouping classes	Frequency	Class marks
40-44	2	42
45-49	7	47
50-54	13	52
55-59	12	57
60-64	7	62
65-69	3	67
Total	44

Calculation

Limit grouping with a first class of 40-44 and a class breadth of 5 yields the relative-frequency distribution.

The formula for calculating relative frequency is:

$Relativefrequency=\frac{Frequency}{Numberofobservations}$

As a result, the relative-frequency distribution is as follows:

Limit grouping classes	Frequency	Relative Frequency
40-44	2	0.045
45-49	7	0.159
50-54	13	0.295
55-59	12	0.273
60-64	7	0.159
65-69	3	0.0678
Total	44	0.999

procedure

Based on the findings, use MINITAB to create a histogram for the provided data.

The histogram is built using the lower bounds of the limit grouping.

Procedure for MINITAB:

Step 1: Select Histogram from the Graph menu.

Step 2: Click OK after selecting Simple.

Step 3: In Graph variables, type AGE in the appropriate column.

Step 4: Click the OK button.

MINITAB Output:

Explanation

The histogram is there is just one peak, indicating that the distribution is uni modal. The histogram is also symmetric.