Question

A research study was conducted about gender differences in "sexting." The researcher believed that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 participated in texting. Out of 2169, 156 participated. Is the proportion of girls sending sexts less than the proportion of boys "sexting

Answer 1

Answer:

Step-by-step explanation:

I'm assuming you meant 2169 females.  

In that case, you have 183/2231 for males and 156/2169 for females.

Converting to percentages, we can see proportionately which demographic is sexting more.

8.2% of males participated in sexting out of the 2231 sample.

7.2% of females participated in sexting out of the 2169 sample.

Thus, there are proportionately more boys sexting than girls.

Answer 2

Using the sample proportion formula, the proportion of males in the sample is greater than the proportion of females.

The sample proportion can be calculated using the relation :

$p = \frac{x}{n}$

• n = sample size
• x = number who participated in sexting

Proportion of males :

• Sample size, n = 2231

• Number who participated = 183

Proportion of males = $p = \frac{183}{2231} = 0.082$

Proportion of Females :

• Sample size, n = 2169

• Number who participated, x = 156

Proportion of Females = $p = \frac{156}{2169} = 0.072$

Since ; 0.082 > 0.072 ; Hence, the proportion of girls is lesser than Females.

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