Are blonde female college students more likely to have boyfriends than brunette female college students? 405 of the 663 blondes surveyed had boyfriends and 452 of the 763 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.05 level of significance?

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

The null and alternative hypotheses would be:


H0:H0:  Select an answer μ1 p1  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 ? t z  =  (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 accept reject  the null hypothesis.

Thus, the final conclusion is that ...

The results are statistically insignificant at αα = 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.

The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.

The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.

The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 663 blonde college students who have a boyfriend is greater than the proportion of the 763 brunette college students who have a boyfriend.

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

There is a 23.88% chance of a Type I error.

There is a 23.88% chance that blonde college students are 1.8% more likely than brunette college students to 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.8% more than the percent of the surveyed brunette college students who have a boyfriend.

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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance of concluding that blonde college students are at least 1.8% more likely than brunette college students to have a boyfriend

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

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 663 blonde college students and 763 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 greater than 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 663 blonde college students and 763 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.

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.

Name: Are blonde female college students more likely to have boyfriends than
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Are blonde female college students more likely to have boyfriends than brunette female college students? 405 of the 663 blondes surveyed had boyfriends and 452 of the 763 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.05 level

Question

Are blonde female college students more likely to have boyfriends than brunette female college students? 405 of the 663 blondes surveyed had boyfriends and 452 of the 763 brunettes surveyed had boyfriends. What can be concluded at the αα = 0.05 level of significance?

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

The null and alternative hypotheses would be:

H0:H0: Select an answer μ1 p1 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 ? t z = (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 accept reject the null hypothesis.
Thus, the final conclusion is that ...
- The results are statistically insignificant at αα = 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.
- The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend.
- The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 663 blonde college students who have a boyfriend is greater than the proportion of the 763 brunette college students who have a boyfriend.
Interpret the p-value in the context of the study.
- There is a 23.88% chance of a Type I error.
- There is a 23.88% chance that blonde college students are 1.8% more likely than brunette college students to 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 1.8% more than the percent of the surveyed brunette college students who have a boyfriend.
- 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 663 blonde college students and 763 brunette college students are surveyed then there would be a 23.88% chance of concluding that blonde college students are at least 1.8% more likely than brunette college students to have a boyfriend
Interpret the level of significance in the context of the study.
- 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 663 blonde college students and 763 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 greater than 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 663 blonde college students and 763 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.
- 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.

Accepted Answer

The Denote p1, p2 as the true population proportions of blonde female and brunette female college…