Are blonde female college students just as likely to have boyfriends as brunette female college students? 411 of the 680 blondes surveyed had boyfriends and 488 of the 750 brunettes surveyed had boyfriends. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ?v = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ?v a e. Based on this, we should Select an answer ♥ the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 680 blonde college students who have a boyfriend is different from the proportion of the 750 brunette college students who have a boyfriend. O The results are statistically insignificant at a = 0.05, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend. g. Interpret the p-value in the context of the study. O There is a 7.06% chance that blonde and brunette college students differ by at least 4.6% when it comes to having a boyfriend. Olf the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 680 blonde college students and 750 brunette college students are surveyed then there would be a 7.06% chance that the percent of the surveyed blonde and brunette college students who have a boyfriend differ by at least 4.6%

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Are blonde female college students just as likely to have boyfriends as brunette female college students?
411 of the 680 blondes surveyed had boyfriends and 488 of the 750 brunettes surveyed had boyfriends.
What can be concluded at the a =
0.05 level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Но:
Select an answer v
Select an answer ♥
Select an answer
(please enter a decimal)
H1:
Select an answer v
Select an answer v Select an answer v (Please enter a decimal)
b. The test statistic ? v
(please show your answer to 3 decimal places.)
с. The p-value %3
| (Please show your answer to 4 decimal places.)
d. The p-value is ? v a
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the population proportion of blonde college students who have a boyfriend is different
from the population proportion of brunette college students who have a boyfriend.
%3D
The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the proportion of the 680 blonde college students who have a boyfriend is different from
the proportion of the 750 brunette college students who have a boyfriend.
%3D
The results are statistically insignificant at = 0.05, so we can conclude that the population
proportion of blonde college students who have a boyfriend is equal to the population
proportion of brunette college students who have a boyfriend.
%3D
O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the population proportion of blonde college students who have a boyfriend is
different from the population proportion of brunette college students who have a boyfriend.
%3D
g. Interpret the p-value in the context of the study.
O There is a 7.06% chance that blonde and brunette college students differ by at least 4.6% when
it comes to having a boyfriend.
O If the percent of all blonde college students who have a boyfriend is the same as the percent
of all brunette college students who have a boyfriend and if another 680 blonde college
students and 750 brunette college students are surveyed then there would be a 7.06% chance
that the percent of the surveyed blonde and brunette college students who have a boyfriend
differ by at least 4.6%
O Lf the sample proportion cf blonde college students whe bave a bovfriond is the ca me as tbe
Transcribed Image Text:Are blonde female college students just as likely to have boyfriends as brunette female college students? 411 of the 680 blondes surveyed had boyfriends and 488 of the 750 brunettes surveyed had boyfriends. What can be concluded at the a = 0.05 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer v Select an answer ♥ Select an answer (please enter a decimal) H1: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? v (please show your answer to 3 decimal places.) с. The p-value %3 | (Please show your answer to 4 decimal places.) d. The p-value is ? v a e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend. %3D The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 680 blonde college students who have a boyfriend is different from the proportion of the 750 brunette college students who have a boyfriend. %3D The results are statistically insignificant at = 0.05, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. %3D O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend. %3D g. Interpret the p-value in the context of the study. O There is a 7.06% chance that blonde and brunette college students differ by at least 4.6% when it comes to having a boyfriend. O If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 680 blonde college students and 750 brunette college students are surveyed then there would be a 7.06% chance that the percent of the surveyed blonde and brunette college students who have a boyfriend differ by at least 4.6% O Lf the sample proportion cf blonde college students whe bave a bovfriond is the ca me as tbe
TIME TESUtLS are staLISTICatty iTISig icamt al u - U.0J, SU LTTETE IS INSUTTICIENT EViueice LU
conclude that the population proportion of blonde college students who have a boyfriend is
different from the population proportion of brunette college students who have a boyfriend.
g. Interpret the p-value in the context of the study.
There is a 7.06% chance that blonde and brunette college students differ by at least 4.6% when
it comes to having a boyfriend.
O If the percent of all blonde college students who have a boyfriend is the same as the percent
of all brunette college students who have a boyfriend and if another 680 blonde college
students and 750 brunette college students are surveyed then there would be a 7.06% chance
that the percent of the surveyed blonde and brunette college students who have a boyfriend
differ by at least 4.6%
O If the sample proportion of blonde college students who have a boyfriend is the same as the
sample proportion of brunette college students who have a boyfriend and if another another
680 blonde college students and 750 brunette college students are surveyed then there would
be a 7.06% chance of concluding that blonde and brunette college students differ by at least
4.6% when it comes to having a boyfriend
There is a 7.06% chance of a Type I error.
h. Interpret the level of significance in the context of the study.
O There is a 5% chance that there is a difference in the proportion of blonde and brunette
college students who have a boyfriend.
There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde.
If the percent of all blonde college students who have a boyfriend is the same as the percent
of all brunette college students who have a boyfriend and if another 680 blonde college
students and 750 brunette college students are surveyed then there would be a 5% chance that
we would end up falsely concuding that the population proportion of blonde college students
who have a boyfriend is different from the population proportion of brunette college students
who have a boyfriend
O If the percent of all blonde college students who have a boyfriend is the same as the percent
of all brunette college students who have a boyfriend and if another 680 blonde college
students and 750 brunette college students are surveyed then there would be a 5% chance that
we would end up falsely concuding that the proportion of these surveyed blonde and brunette
college students who have a boyfriend differ from each other.
Transcribed Image Text:TIME TESUtLS are staLISTICatty iTISig icamt al u - U.0J, SU LTTETE IS INSUTTICIENT EViueice LU conclude that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend. g. Interpret the p-value in the context of the study. There is a 7.06% chance that blonde and brunette college students differ by at least 4.6% when it comes to having a boyfriend. O If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 680 blonde college students and 750 brunette college students are surveyed then there would be a 7.06% chance that the percent of the surveyed blonde and brunette college students who have a boyfriend differ by at least 4.6% O If the sample proportion of blonde college students who have a boyfriend is the same as the sample proportion of brunette college students who have a boyfriend and if another another 680 blonde college students and 750 brunette college students are surveyed then there would be a 7.06% chance of concluding that blonde and brunette college students differ by at least 4.6% when it comes to having a boyfriend There is a 7.06% chance of a Type I error. h. Interpret the level of significance in the context of the study. O There is a 5% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend. There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde. If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 680 blonde college students and 750 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the population proportion of blonde college students who have a boyfriend is different from the population proportion of brunette college students who have a boyfriend O If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 680 blonde college students and 750 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the proportion of these surveyed blonde and brunette college students who have a boyfriend differ from each other.
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