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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

18-2425-6465+Total
Never6383175
Sometimes1431449
Every day50505105
Total7011940229

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

Short Answer

Expert verified

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

Step by step solution

01

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
45-497
50-5413
55-5912
60-647
65-693
Total
44
02

Calculation

Find the following class grades:

The formula is used to calculate the class grades.

ClassMarks=Upperclasslimit-Lowerclasslimit2

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

Limit grouping classes
FrequencyClass marks
40-44242
45-49747
50-541352
55-591257
60-64762
65-69
367
Total44
03

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=FrequencyNumberofobservations

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

Limit grouping classes
FrequencyRelative Frequency
40-4420.045
45-4970.159
50-54130.295
55-59120.273
60-6470.159
65-6930.0678
Total
440.999
04

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:

05

Explanation

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

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