A research study was conducted about gender differences in sexting, the sending of sexually explicit messages or images 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 Npoys < 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) > 10. Round your answer to one decimal place. NgirkP (1 – p) NipoysP (1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pgirls ? Pboys Ha: Pgirls Pboys b. The hypothesis test is Select an answer c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Reject the null hypothesis. O Fail to reject the null hypothesis.
A research study was conducted about gender differences in sexting, the sending of sexually explicit messages or images 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 Npoys < 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) > 10. Round your answer to one decimal place. NgirkP (1 – p) NipoysP (1 – p) = Test the claim: a. Determine the null and alternative hypotheses. Ho: Pgirls ? Pboys Ha: Pgirls Pboys b. The hypothesis test is Select an answer c. Determine the test statistic. Round to two decimal places. d. Find the p-value. Round to four decimal places. p-value = e. Make a decision. O Reject the null hypothesis. O Fail to reject the null hypothesis.
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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Transcribed Image Text:A research study was conducted about gender differences in sexting, the sending of
sexually explicit messages or images 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
Npoys < 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) > 10. Round your answer to one decimal place.
NgirkP (1 – p)
NipoysP (1 – p) =
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Pgirls ? Pboys
Ha: Pgirls
Pboys
b. The hypothesis test is
Select an answer
c. Determine the test statistic. Round to two decimal places.
d. Find the p-value. Round to four decimal places.
p-value =
e. Make a decision.
O Reject the null hypothesis.
O Fail to reject the null hypothesis.
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