Are blonde female college students less likely to have boyfriends than brunette female college students? 426 of the 611 blondes surveyed had boyfriends and 461 of the 602 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 Select an answer V Select an answerV (please enter a decimal) Hị: Select an answer V Select an answer V Select an answer V (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = |(Please show your answer to 4 decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Are blonde female college students less likely to have boyfriends than brunette female college students?
426 of the 611 blondes surveyed had boyfriends and 461 of the 602 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:
Họ: Select an answer
Select an answer
Select an answer v (please enter a decimal)
H: Select an answer V
Select an answer V
Select an ansSwer
(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 v the null hypothesis.
f. Thus, the final conclusion is that ...
(Please show your answer to 4 decimal places.)
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 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 less than the
population proportion of brunette college students who have a boyfriend.
The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude
that the proportion of the 611 blonde college students who have a boyfriend is less than the
proportion of the 602 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
less than the population proportion of brunette college students who have a boyfriend.
g. Interpret the p-value in the context of the study.
O f 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
611 blonde college students and 602 brunette college students are surveyed then there would
be a 0.35% chance of concluding that blonde college students are at least 6.9% less likely than
brunette college students to have a boyfriend
O f 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 611 blonde college
students and 602 brunette college students are surveyed then there would be a 0.35% chance
that the percent of the surveyed blonde college students who have a boyfriend would be at
least 6.9% less than the percent of the surveyed brunette college students who have a
boyfriend.
O There is a 0.35% chance of a Type I error.
There is a 0.35% chance that blonde college students are 6.9% less likely than brunette college
students to have a boyfriend.
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.
O f 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 611 blonde college
students and 602 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 less than the population proportion of brunette college students who
have 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 611 blonde college
students and 602 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.
O There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde.
Transcribed Image Text:Are blonde female college students less likely to have boyfriends than brunette female college students? 426 of the 611 blondes surveyed had boyfriends and 461 of the 602 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: Họ: Select an answer Select an answer Select an answer v (please enter a decimal) H: Select an answer V Select an answer V Select an ansSwer (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 v the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) 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 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 less than the population proportion of brunette college students who have a boyfriend. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the proportion of the 611 blonde college students who have a boyfriend is less than the proportion of the 602 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 less than the population proportion of brunette college students who have a boyfriend. g. Interpret the p-value in the context of the study. O f 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 611 blonde college students and 602 brunette college students are surveyed then there would be a 0.35% chance of concluding that blonde college students are at least 6.9% less likely than brunette college students to have a boyfriend O f 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 611 blonde college students and 602 brunette college students are surveyed then there would be a 0.35% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 6.9% less than the percent of the surveyed brunette college students who have a boyfriend. O There is a 0.35% chance of a Type I error. There is a 0.35% chance that blonde college students are 6.9% less likely than brunette college students to have a boyfriend. 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. O f 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 611 blonde college students and 602 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 less than the population proportion of brunette college students who have 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 611 blonde college students and 602 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. O There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde.
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