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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 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance. a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis. O H₁ PB > PG O H₁ PB PG O H₁: PB PG b) Determine the test statistic. Round to two decimals. Z= c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys. O There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

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 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance. a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis. O H₁ PB > PG O H₁ PB PG O H₁: PB PG b) Determine the test statistic. Round to two decimals. Z= c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys. O There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance. a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis. O H₁: PB > PG O H₁: PB < PG O H₁: PB PG b) Determine the test statistic. Round to two decimals. Z = c) Find the p-value and round to 4 decimals. P = d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys. O There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.
Transcribed Image Text: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 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1% level of significance. a) If we use B to denote the boys and G to denote the girls, identify the correct alternative hypothesis. O H₁: PB > PG O H₁: PB < PG O H₁: PB PG b) Determine the test statistic. Round to two decimals. Z = c) Find the p-value and round to 4 decimals. P = d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys. O There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys.
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