Homework Answers
(a) This compares two proportions (one brand of cola vs the
other brand) drawn from the same
group (tasters).
This situation involves comparing one group.
The methods of this section do not apply to this type of difference in proportions.
Hence answer is -
No.
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TWO GROUPS OR ONE? Situations comparing two proportions are described. In each case, determine whether the...
Situations comparing two proportions are described. In each case, determine whether the situation involves comparing proportions...
Situations comparing two proportions are described. In each case, determine whether the situation involves comparing proportions for two groups or comparing two proportions from the same group. State whether the methods of this section apply to the difference in proportions. Compare the proportion of students who use a Windows-based PC to the proportion who use a Mac. Do the methods of this section apply to the difference in proportions?
One hundred volunteers were divided into two equal-sized groups. Each volunteer took a math test that...
One hundred volunteers were divided into two equal-sized groups. Each volunteer took a math test that involved transforming strings of eight digits into a new string that fit a set of given rules, as well as a third, hidden rule. Prior to taking the test, one group received 8 hours of sleep, while the other group stayed awake all night. The scientists monitored the volunteers to determine whether and when they figured out the rule. Of the volunteers who slept,...
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the ot...
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 59 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) HO. p-p0 versus HI : pf...
(a) Determine the sample proportions for each sample. The proportions of the females and males who...
(a) Determine the sample proportions for each
sample. The proportions of the females and males who took the
survey who are annoyed by the behavior in question are _____ and
_____, respectively. (Round to four decimal places as needed.)
(b) Explain why this study can be analyzed
using the methods for conducting a hypothesis test regarding two
independent proportions.
(c) What are the null and alternative
hypotheses?
(d) Describe the sampling distribution of
(pfemale − pmale). Draw a normal model...
Week 10b - Ch23 Comparing Two Proportions: Problem 6 Previous Problem List Next (1 point) (a)...
Week 10b - Ch23 Comparing Two Proportions: Problem 6 Previous Problem List Next (1 point) (a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume the 'worst case scenario for the value of both sample proportions. We want a 98% confidence level and for the error to be smaller than 0.07. Answer:...
A study was done to determine whether the proportion of younger adults who subscribe to a traditional TV service (Comcas...
A study was done to determine whether the proportion of younger adults who subscribe to a traditional TV service (Comcast, DirecTV, Dish, etc.) differs according to age. The results are summarized in the following table: Age Traditional TV? >= 20 and < 30 >= 30 and < 40 Total Yes 257 276 533 No 743 615 1358 Total 1000 891 1891 (a) At the .05 level of significance, use a 2-test to see if the sample data provides evidence that...
25.35 Comparing two proportions and the chi-square test. The popularity of computer, video, online, and virtual...
25.35 Comparing two proportions and the chi-square test. The popularity of computer, video, online, and virtual reality games has raised concerns about their ability to negatively affect youth, although the existing literature has been inconsistent. A recent survey of 14- to 18-year-olds in Connecticut high schools compared, among other things, aggressive behavior as evidenced by getting into serious fights for girls who have and have not played video games. When comparing two proportions such as these, the data can be...
4. Comparing two population proportions (independent samples)
4. Comparing two population proportions (independent samples) Most major survey research organizations do not include wireless telephone numbers when conducting random-digit-dial telephone surveys. If there are differences between persons with and without landline phones, using a random-digit-dial telephone survey may introduce bias into the survey results. Data on a broad range of health topics are collected through personal household interviews of a representative sample of the U.S. civilian noninstitutionalized population in the National Health Interview Survey (NHIS) respondents are also asked about...
Question 33 3 pts Difference of two proportions. A study was done to determine computer usage...
Question 33 3 pts Difference of two proportions. A study was done to determine computer usage of workers by age using data from the General Social Survey. The survey asked respondents if they used a computer at work. The researchers did not have a strong prior belief that one group would be higher than another. On the one hand, older workers potentially had more experience and their use might be higher. On the other, it might be reasonable to say...
DI Question 32 3 pts ifference of two proportions. A study was done to determine computer...
DI Question 32 3 pts ifference of two proportions. A study was done to determine computer usage of workers by age using ta from the General Social Survey. The survey asked respondents if they used a computer at work. The researchers did not have a strong prior belief that one group would be higher than another. On the one hand, older workers potentially had more experience and their use might be higher. On the other, it might be reasonable to...
One hundred volunteers were divided into two equal-sized groups. Each volunteer took a math test that involved transforming strings of eight digits into a new string that fit a set of given rules, as well as a third, hidden rule. Prior to taking the test, one group received 8 hours of sleep, while the other group stayed awake all night. The scientists monitored the volunteers to determine whether and when they figured out the rule. Of the volunteers who slept,...
A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 59 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) HO. p-p0 versus HI : pf...
(a) Determine the sample proportions for each
sample. The proportions of the females and males who took the
survey who are annoyed by the behavior in question are _____ and
_____, respectively. (Round to four decimal places as needed.)
(b) Explain why this study can be analyzed
using the methods for conducting a hypothesis test regarding two
independent proportions.
(c) What are the null and alternative
hypotheses?
(d) Describe the sampling distribution of
(pfemale − pmale). Draw a normal model...
Week 10b - Ch23 Comparing Two Proportions: Problem 6 Previous Problem List Next (1 point) (a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume the 'worst case scenario for the value of both sample proportions. We want a 98% confidence level and for the error to be smaller than 0.07. Answer:...
25.35 Comparing two proportions and the chi-square test. The popularity of computer, video, online, and virtual reality games has raised concerns about their ability to negatively affect youth, although the existing literature has been inconsistent. A recent survey of 14- to 18-year-olds in Connecticut high schools compared, among other things, aggressive behavior as evidenced by getting into serious fights for girls who have and have not played video games. When comparing two proportions such as these, the data can be...
Question 33 3 pts Difference of two proportions. A study was done to determine computer usage of workers by age using data from the General Social Survey. The survey asked respondents if they used a computer at work. The researchers did not have a strong prior belief that one group would be higher than another. On the one hand, older workers potentially had more experience and their use might be higher. On the other, it might be reasonable to say...
DI Question 32 3 pts ifference of two proportions. A study was done to determine computer usage of workers by age using ta from the General Social Survey. The survey asked respondents if they used a computer at work. The researchers did not have a strong prior belief that one group would be higher than another. On the one hand, older workers potentially had more experience and their use might be higher. On the other, it might be reasonable to...
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