Many believe that it is not feasible for men and women to be just friends, while others argue that this belief may not be true anymore because gone are the days when men worked and women stayed at home and the only way they could get together was for romance. A researcher conducts a survey on 186 students. The students are asked their sex (male or female) and if it is feasible for men and women to be just friends (yes or no). The accompanying data file shows the responses from 186 students. Click here for the Excel Data File a-1. Construct a contingency table that cross-classifies the data by Sex and Feasible. Provide the frequencies in the accompanying table. Sex Feasible Female Male No Yes a-2. How many of the students were female? Number of female students a-3. How many of the students felt that it was feasible for men and women to be just friends? Number of students b-1. What proportion of male students feels that men and women can be just friends? Note: Report the proportion rounded to 2 decimal places. Likelihood of a male student b-2. What proportion of female students feels that men and women can be just friends? Note: Report the proportion rounded to 2 decimal places. Likelihood of a female student c. The figure below shows the stacked column chart for the data. Which of the following statements is least accurate? Yes is the most common answer. The number of male students involved in this survey is less than female students. Both men and women are more likely to say that it is not feasible for men and women to be friends. Both men and women are more likely to say that it is feasible for men and women to be friends.
Added by Domingo W.
Close
Step 1
- Use the data file to count the number of male and female students who answered "Yes" and "No" to whether it is feasible for men and women to be just friends. - Fill in the table with these frequencies. Show moreā¦
Show all steps
Your feedback will help us improve your experience
Sri K and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Rochan B.
A book publisher wants to know if there is a relationship between gender and book-type preferences for recreational readers. In a simple random sample, respondents were asked if they prefer reading mysteries, romance novels, or self-help books. The following table lists the resulting number of respondents, by gender and book type. Use these results for parts (a) through (d). Mystery Romance Self-help Row Totals Male 243 201 191 635 Female 135 149 486 770 Column Totals 378 350 677 1405 (a) Rounded to the nearest whole number, how many males would prefer reading self-help books if there is no relationship between gender and reading preference? A) 191 B) 223 C) 620 D) 635 (b) Rounded to the nearest whole number, the expected number of females who prefer romance is 152. What is their contribution to the chi-square test statistic? A) 9 B) 3 C) 0.06 D) 0.02 (c) Suppose the chi-square value for this test was 25. Using the appropriate table, what is the corresponding P-value? p < 0.01 p < 0.02 p < 0.025 p < 0.05 (d) If the p-value for this test is significant, we conclude: A) There is no evidence for a relationship between gender and reading preference. B) There is evidence for a relationship between gender and reading preference. C) There is no evidence that gender determines reading preference. D) There is evidence that gender determines reading preference.
Madhur L.
Is the difference in sample proportions (from Question 3) a likely or unlikely value given the sampling distribution? a. Yes; It is a likely value for the difference in sample proportions because it falls at or within μ_(pĢā-pĢā) ± 2Ļ_(pĢā-pĢā) b. No; It is not a likely value for the difference in sample proportions because it falls outside μ_(pĢā-pĢā) ± 2Ļ_(pĢā-pĢā) Questions 7 through 12: In a survey of college students, 70% of the 100 women surveyed said that they believe in love at first sight, whereas only 40% of the 80 men surveyed said that they believe in love at first sight. What is the proportion in each group that said they believe in love at first sight? Women: pĢā = (use 2 decimals) Men: pĢā = (use 2 decimals) Question 7: Compute the difference in the two proportions 7. What is the difference in sample proportions? pĢā - pĢā = (use 2 decimals) Questions 8 through 10: Compute a 95% confidence interval for the difference between the proportions for women and men the population. (Use calculator function 2-PropZInt) 8. lower value = (use 3 decimals) 9. upper value = (use 3 decimals) 10. Which of the following is a valid interpretation of this confidence interval? a. Since the interval does include 0, we can conclude that the population proportions for the two sexes are not different. b. Since the interval does not include 0, we can conclude that the population proportions for the two sexes are different with the proportion of college aged women higher than that of college aged men. c. Since the interval does not include 0, we can conclude that the population proportions for the two sexes are different with the proportion of college aged women lower than that of college aged men.
Sri K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD