Math

posted by .

In a survey of families in which both parents work, one of the questions asked was, "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200 men and 200 women were asked this question. "Yes" was the response given by 34% of the men and 26% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance? (Use Men - Women.)
(a) Find z. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

  • Math -

    z = 1.75
    p-value =.0809

    If p-value is greater than alpha
    Fail to reject Ho
    If p-value is less than alpha
    Reject Ho

  • Math -

    1. Men 2. Women

    n1 = 200. n2 = 200

    x1 = .34(200) =64. x2 = .26(200) = 52
    phat1 = .34. phat2 = .26

    pbar = (x1 + x2)/(n1+n2)

    pbar = (68+52)/(200+200)

    pbar = .30

    qbar = 1-pbar = .70

    z = (phat1-phat2)/sqrt(phar*qbar/n1 + pbar*qbar/n2)

    z = (.34-.26)/sqrt(.3*.7/200 + .3*.7/200)

    z = -+ 1.7457

    ti-83
    2nd vars

    2-normalcdf(-10, -1. 7457) = = .04043

    two tail so you multiply 2
    2( .04043) = 0.08086
    Four decimal places = .0809

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths, proportion

    twelve men take 6 hours to finish a piece of work. after the 12 men have worked for 1 hour, the contractor decides to call in 8 more men to complete the remaining work. how many more hours would the 20 men take to complete the remaining …
  2. eng college

    Can someone please help revise. It is a proposal for a research paper! Thank You! Work and family are both central to our way of life. Finding a balance between the two is an issue of importance to men, women, and employers. Therefore, …
  3. English

    I really need help with my writing. I need some to proof read a paper that I wrote. Two Career Families versus One Career Families Back in the early days the traditional working family was a one career family. The roles of husband …
  4. English

    I left out the following sentences. Thank you very much, Writeacher. 1) I think everybody would work at a passion but many times (mistake) this is often not possible. 2) If I worked, I would work at a job because I'll need (I need) …
  5. English

    I have some more sentences to check on the same subject.Thank you very much! 1) I took off a day because I was ill. Correction: I took a day off... Or I went sick (I took a day sick leave/I asked for a day sick leave?
  6. Statistics

    Help Me Please! In a survey of families in which both parents work, one of the questions asked was, "Have you refused a job, promotion, or transfer because it would mean less time with your family?
  7. statistics

    In a survey of families in which both parents work, one of the questions asked was, "Have you refused a job, promotion, or transfer because it would mean less time with your family?
  8. math statistics

    In a survey of families in which both parents work, one of the questions asked was, "Have you refused a job, promotion, or transfer because it would mean less time with your family?
  9. math

    Students at an elementary school are given a questionnaire that they are required to return after their parents have completed it. One of the questions asked is, "Do you find that your work schedule makes it difficult for you to spend …
  10. creative play

    Parents and families need to be involved in assessing children’s growth. Teachers should foster this involvement by all of the following EXCEPT: A. giving parents/families opportunities to provide written feedback on their children’s …

More Similar Questions