Math  /  Data & Statistics

QuestionA research study was conducted about gender differences in "sexting." The researcher belleved 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 BB to denote the boys and GG to denote the girls, identify the correct alternative hypothesis. H1:pBpGH_{1}: p_{B} \neq p_{G} H1:pB<pGH_{1}: p_{B}<p_{G} H1:pB>pGH_{1}: p_{B}>p_{G} b) Determine the test statistic. Round to two decimals. z=z=\cdot \square c) Find the phalue and round to 4 decimals. p=p= \square d) Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys. There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

Studdy Solution
Write the conclusion based on the decision made in STEP_4.
- If the null hypothesis is rejected, conclude: "There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys." - If the null hypothesis is not rejected, conclude: "There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys."

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