Are blonde female college students just as likely to have boyfriends as brunette female college students? 416 of the 670 blondes surveyed had boyfriends and 343 of the 612 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two independent population means

The null and alternative hypotheses would be:


H0:H0:  Select an answer p1 μ1  Select an answer < = ≠ >  Select an answer μ2 p2  (please enter a decimal)

H1:H1:  Select an answer μ1 p1  Select an answer = < ≠ >  Select an answer μ2 p2  (Please enter a decimal)

The test statistic ? z t  =  (please show your answer to 3 decimal places.)

The p-value =  (Please show your answer to 4 decimal places.)

The p-value is ? > ≤  αα

Based on this, we should Select an answer fail to reject reject accept  the null hypothesis.

Thus, the final conclusion is that ...

The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 670 blonde college students who have a boyfriend is different from the proportion of the 612 brunette college students who have a boyfriend.

The results are statistically insignificant at αα = 0.01, 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.

The results are statistically insignificant at αα = 0.01, 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.

The results are statistically significant at αα = 0.01, 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.

Interpret the p-value in the context of the study.

There is a 2.78% chance that blonde and brunette college students differ by at least 6% when it comes to having a boyfriend.

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 670 blonde college students and 612 brunette college students are surveyed then there would be a 2.78% chance that the percent of the surveyed blonde and brunette college students who have a boyfriend differ by at least 6%

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 670 blonde college students and 612 brunette college students are surveyed then there would be a 2.78% chance of concluding that blonde and brunette college students differ by at least 6% when it comes to having a boyfriend

There is a 2.78% chance of a Type I error.

Interpret the level of significance in the context of the study.

There is a 1% chance that you will never get a boyfriend unless you dye your hair blonde.

There is a 1% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend.

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 670 blonde college students and 612 brunette college students are surveyed then there would be a 1% 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

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 670 blonde college students and 612 brunette college students are surveyed then there would be a 1% 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.

Name: Are blonde female college students just as likely to have boyfriends a
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Are blonde female college students just as likely to have boyfriends as brunette female college students? 416 of the 670 blondes surveyed had boyfriends and 343 of the 612 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.01 leve

Question

Are blonde female college students just as likely to have boyfriends as brunette female college students? 416 of the 670 blondes surveyed had boyfriends and 343 of the 612 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean z-test for a population proportion t-test for the difference between two independent population means

The null and alternative hypotheses would be:

H0:H0: Select an answer p1 μ1 Select an answer < = ≠ > Select an answer μ2 p2 (please enter a decimal)

H1:H1: Select an answer μ1 p1 Select an answer = < ≠ > Select an answer μ2 p2 (Please enter a decimal)

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer fail to reject reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 670 blonde college students who have a boyfriend is different from the proportion of the 612 brunette college students who have a boyfriend.
- The results are statistically insignificant at αα = 0.01, 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.
- The results are statistically insignificant at αα = 0.01, 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.
- The results are statistically significant at αα = 0.01, 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.
Interpret the p-value in the context of the study.
- There is a 2.78% chance that blonde and brunette college students differ by at least 6% when it comes to having a boyfriend.
- 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 670 blonde college students and 612 brunette college students are surveyed then there would be a 2.78% chance that the percent of the surveyed blonde and brunette college students who have a boyfriend differ by at least 6%
- 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 670 blonde college students and 612 brunette college students are surveyed then there would be a 2.78% chance of concluding that blonde and brunette college students differ by at least 6% when it comes to having a boyfriend
- There is a 2.78% chance of a Type I error.
Interpret the level of significance in the context of the study.
- There is a 1% chance that you will never get a boyfriend unless you dye your hair blonde.
- There is a 1% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend.
- 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 670 blonde college students and 612 brunette college students are surveyed then there would be a 1% 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
- 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 670 blonde college students and 612 brunette college students are surveyed then there would be a 1% 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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