Results 1 to 2 of 2

Math Help - 2 Data Management Questions

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    United States
    Posts
    1

    2 Data Management Questions

    Hello I'm having difficulty solving the following two questions and I need your help!
    (Step by step solutions would be very much appreciated if possible)


    Use a significance level of 0.05 for each question.


    Q1) A certain soft-drink manufacturer claims that its product holds 28% of the market. In a blind taste test, 13 out of 60 people chose this product. Does this test support or refute the soft drink manufacturer's claim? Choose a significance level you feel is appropriate for this situation.


    Q2) An insurance company claims that 38% of automobile accidents occur within 5km of home. The company examined 400 recent accidents and found that 120 occurred within 5 km of the driver's home. Does this result support or refute the company's claim? Choose a significance level and justify your choice.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Apr 2012
    From
    canada
    Posts
    41

    Re: 2 Data Management Questions

    Both are hypothesis tests about proportions.

    For Q1:

    Ho: soft drink manufactured holds 28% of the market
    Ha: soft drink does not hold 28% of the market (because they don't ask you to determine whether they hold more or less of that claim, it is a 2 tailed test).

    your test static = z = (p'-p)/SQRT(pq/n)

    where p' = sample proportion (for Q1, it would be 13/60)
    p = Population proportion (for Q1, it would be 0.28)
    q = 1 - p (1 - 0.288 = 0.712)


    Your critical value
    z, 0.05/2 (divide by 2 because it is a two tailed test)
    = 1.960

    we reject Ho if our C.V > T.S
    we fail to reject Ho if our C.V < T.S


    I'll let you substitute in for both questions, and see if you get the answer right.
    If you have any problems just ask. You're best to set it out with:
    1)hypotheses
    2)distribution (call it hypothesis test about proportions in this case)
    --> Include any assumptions; here it is n > or = 20, and both np and nq > or equal to 5.
    3)critical value
    4)find your test statistic
    5)Action (do we reject or fail to reject Ho)
    6)write conclusion in words.

    (I'll do the calculation myself too)
    Last edited by cellae; November 23rd 2012 at 05:03 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. data management help
    Posted in the Statistics Forum
    Replies: 0
    Last Post: May 23rd 2012, 10:23 AM
  2. I need help with my data management homework.
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 17th 2012, 02:14 PM
  3. data management
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 10th 2008, 06:28 PM
  4. Data Management
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 16th 2008, 04:51 PM
  5. Data Management HELP
    Posted in the Statistics Forum
    Replies: 1
    Last Post: January 6th 2008, 04:19 PM

Search Tags


/mathhelpforum @mathhelpforum