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S O C A researcher has conducted a survey on sexual attitudes for a sample of 317 teenagers The respondents were asked whether they considered premarital sex "always wrong” or “Not always wrong.” The following tables summarize the relationship between responses to this item and several other variables. For each table, assess the strength and pattern of the relationship and write a paragraph interpreting these results. a. Attitude towards premarital sex by gender Premarital Sex Gender Females Males Totals Always wrong 90 70 195 Not always wrong Totals 65 155 57 162 122 317 b. Attitude towards premarital sex by courtship status Premarital Sex Ever Gone “Steady?” No Yes Totals Always wrong 148 47 195 Not always wrong Totals 42 190 80 127 122 317

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Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

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Chapter
Section
BuyFindarrow_forward

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
Chapter 11, Problem 11.2P
Textbook Problem
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S O C A researcher has conducted a survey on sexual attitudes for a sample of 317 teenagers The respondents were asked whether they considered premarital sex "always wrong” or “Not always wrong.” The following tables summarize the relationship between responses to this item and several other variables. For each table, assess the strength and pattern of the relationship and write a paragraph interpreting these results.

a. Attitude towards premarital sex by gender

Premarital Sex Gender
Females Males Totals
Always wrong 90 70 195
Not always wrong
Totals
65 155 57 162 122 317

b. Attitude towards premarital sex by courtship status

Premarital Sex Ever Gone “Steady?”
No Yes Totals
Always wrong 148 47 195
Not always wrong
Totals
42 190 80 127 122 317

To determine

(a)

To find:

The column percentages, strength and pattern of relationship.

Explanation of Solution

Given:

The given statement is,

A researcher has conducted a survey on sexual attitudes for a sample of 317 teenagers The respondents were asked whether they considered premarital sex "always wrong” or “Not always wrong.” The following tables summarize the relationship between responses to this item and several other variables.

The given table of information is,

Premarital Sex Gender
Females Males Totals
Always wrong 90 105 195
Not always wrong 65 57 122
Totals 155 162 317

Approach:

If the maximum difference of the smallest and the largest column percentage in a row is less than 10%, it is said that there is a weak association between the categories.

If the maximum difference is between 10% and 30%, it is said that there is a moderate association between the categories and if the maximum difference is above 30%, then there is a high association between the categories.

Calculation:

From the given information,

The following table gives the column wise percentages based on gender.

Premarital Sex Gender
Females Males
Always wrong 58.06% 64.81%
Not always wrong 41.94% 35.19%
Totals 100% 100%

The columns of the table are computed as,

Substitute the values from the given table of information,

90155×100=58

To determine

(b)

To find:

The column percentages, strength and pattern of relationship.

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