A research study was conducted about gender differences in sexting, the sending of sexually explicit messages or inmages by cell phone. A researcher believes that the proportion of girls sexting is less than the proportion of boys sexting and decides to collect data 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. The researcher finds 156 out of 2,169 girls are sexting and 183 out of 2,231 boys are sexting. Is there enough evidence to support the researcher's belief that the proportion of girls sexting is less than the proportion of boys sexting? Test at the 0.1 level of significance. Preliminary: a. Is it safe to assume that Neirls < 5 % of all girls in middle and high school students in a large school district in the southern United States and Nhoys 5% of all boys in middle and high school students in a large school district in the southern United States? O No O Yes b. Verify np(1 – p) 2 10. Round your answer to one decimal place. Ngirlk p(1 – p) = TboyaP (1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pgirla ? V Pboys Ha: Pgirla ? V Phoys b. The hypothesis test is Select an answer V c. Determine the test statistic. Round to two decimal places. 2 = d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. f. Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls sexting is less than boys. O There is sufficient evidence to support the researcher's belief that the proportion of girls sexting is less than bOur
A research study was conducted about gender differences in sexting, the sending of sexually explicit messages or inmages by cell phone. A researcher believes that the proportion of girls sexting is less than the proportion of boys sexting and decides to collect data 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. The researcher finds 156 out of 2,169 girls are sexting and 183 out of 2,231 boys are sexting. Is there enough evidence to support the researcher's belief that the proportion of girls sexting is less than the proportion of boys sexting? Test at the 0.1 level of significance. Preliminary: a. Is it safe to assume that Neirls < 5 % of all girls in middle and high school students in a large school district in the southern United States and Nhoys 5% of all boys in middle and high school students in a large school district in the southern United States? O No O Yes b. Verify np(1 – p) 2 10. Round your answer to one decimal place. Ngirlk p(1 – p) = TboyaP (1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pgirla ? V Pboys Ha: Pgirla ? V Phoys b. The hypothesis test is Select an answer V c. Determine the test statistic. Round to two decimal places. 2 = d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. f. Write the conclusion. O There is not sufficient evidence to support the claim that the proportion of girls sexting is less than boys. O There is sufficient evidence to support the researcher's belief that the proportion of girls sexting is less than bOur
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A research study was conducted about gender differences in sexting, the sending of sexually explicit
messages or inmages by cell phone. A researcher believes that the proportion of girls sexting is less than the
proportion of boys sexting and decides to collect data 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. The researcher
finds 156 out of 2,169 girls are sexting and 183 out of 2,231 boys are sexting. Is there enough evidence to
support the researcher's belief that the proportion of girls sexting is less than the proportion of boys
sexting? Test at the 0.1 level of significance.
Preliminary:
a. Is it safe to assume that
ngirls < 5% of all girls in middle and high school students in a large school district in the southern
United States and
Nhoys 5% of all boys in middle and high school students in a large school district in the southern
United States?
ONo
OYes
b. Verify np(1– p) 2 10. Round your answer to one decimal place.
Ngirlsp(1 – p) =
NhoysP(1 – p) =
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Pgirls
Hạ: Pgirlk ? V Phoys
Pboys
b. The hypothesis test is
Select an answer V
c. Determine the test statistic. Round to two decimal places.
2 =
d. Find the p-value. Round to four decimal places.
P-value =
e. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
f. Write the conclusion.
O There is not sufficient evidence to support the claim that the proportion of girls sexting is less
than boys.
O There is sufficient evidence to support the researcher's belief that the proportion of girls
sexting is less than boys.
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