(a) the evidence against the null hypothesis is significant, but
H0
Significance level:
Group with the larger mean:
(b) 99% confidence interval for m1m2: 2.5 to 5.5
Conclusion: H0
Significance level:
Group with the larger mean:
(c) 90% confidence interval for m1m2: 10.8 to 3.3
Conclusion: H0
Significance level:
Group with the larger mean:
Chapter 4, Section 5, Exercise 156
Are you “In a Relationship”?
A new study^{1} shows that relationship status on Facebook matters to couples. The study included 58collegeage heterosexual couples who had been in a relationship for an average of 19 months. In 45 of the 58 couples, both partners reported being in a relationship on Facebook. In 31 of the 58 couples, both partners showed their dating partner in their Facebook profile picture. Men were somewhat more likely to include their partner in the picture than vice versa. However, the study states: “Females’ indication that they are in a relationship was not as important to their male partners compared with how females felt about male partners indicating they are in a relationship.” Using a population of collegeage heterosexual couples who have been in a relationhip for an average of 19 months:
(a) A 95% confidence interval for the proportion with both partners reporting being in a relationship on Facebook is about 0.66 to 0.88. What is the conclusion in a hypothesis test to see if the proportion is different from 0.5? What significance level is being used?
Conclusion: H0
Significance level:
(b) A 95% confidence interval for the proportion with both partners showing their dating partner in their Facebook profile picture is about 0.40 to 0.66 . What is the conclusion in a hypothesis test to see if the proportion is different from 0.5? What significance level is being used?
Conclusion: H0
Significance level:
^{1 }Roan, Shari, “The true meaning of Facebook’s ‘in a relationship'”, Los Angeles Times, February 23, 2012, reporting on a study in Cyberpsychology, Behavior, and Social Networking.































Chapter 5, Section 1, Exercise 031
Random Samples of College Degree Proportions
The distribution of sample proportions of US adults with a college degree for random samples of size n=500 is N(0.275,0.02). How often will such samples have a proportion, ^{Ù}p, that is more than 0.300?
Round your answer to one decimal place.
[removed]% of samples of 500 US adults will contain more than 30.0% with at least a bachelor’s degree.
Warning
[removed]Don’t show me this message again for the assignment 
the absolute tolerance is +/0.1


Chapter 5, Section 2, Exercise 044
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
A 95% confidence interval for a proportion p if the sample has n=200 with ^{Ù}p=0.34, and the standard error is SE=0.03
Round your answers to three decimal places.
The 95% confidence interval is [removed]to [removed].
Chapter 5, Section 2, Exercise 046
Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
A 90% confidence interval for a mean mif the sample has n=80 with `x=22.9 and s=5.8, and the standard error is SE=0.65
Round your answers to three decimal places.
The 90% confidence interval is [removed]to [removed].
























































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