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 0.05 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 Nboys < 5 % of all boys in middle and high school students in a large school district in the southern United States?

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11/15/2020
MyOpenMath
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 0.05 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
< 5 % of all boys in middle and high school students in a large school district in the
Npoys
southern United States?
Yes
No
b. Verify np (1 - p) 2 10. Round your answer to one decimal place.
Ngirlsp (1 – p)
MboysP (1 -- p)
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Pgirls ?
Ha: Pgirls ?
Pboys
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.
Reject the null hypothesis.
Fail to reject the null hypothesis.
f. Write the conclusion.
https://www.myopenmath.com/assess2/?cid%3D80488&aid%3D5754731#/print
2/6
Transcribed Image Text:11/15/2020 MyOpenMath 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 0.05 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 < 5 % of all boys in middle and high school students in a large school district in the Npoys southern United States? Yes No b. Verify np (1 - p) 2 10. Round your answer to one decimal place. Ngirlsp (1 – p) MboysP (1 -- p) Test the claim: a. Determine the null and alternative hypotheses. Ho: Pgirls ? Ha: Pgirls ? Pboys 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. Reject the null hypothesis. Fail to reject the null hypothesis. f. Write the conclusion. https://www.myopenmath.com/assess2/?cid%3D80488&aid%3D5754731#/print 2/6
11/15/2020
MyOpenMath
There is sufficient evidence to support the researcher's belief that the proportion of girls
sexting is less than boys.
There is not sufficient evidence to support the claim that the proportion of girls sexting is
less than boys.
Transcribed Image Text:11/15/2020 MyOpenMath There is sufficient evidence to support the researcher's belief that the proportion of girls sexting is less than boys. There is not sufficient evidence to support the claim that the proportion of girls sexting is less than boys.
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