{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

handout_13 DISTRIBUTION OF THE DIFFERENCE BETWEEN TWO SAMPLE PROPORTIONS

Handout_13 DISTRIBUTION OF THE DIFFERENCE BETWEEN TWO SAMPLE PROPORTIONS

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Apr 19’09 DISTRIBUTION OF THE DIFFERENCE BETWEEN TWO #13 SAMPLE PROPORTIONS. CONFIDENCE INTERVAL. Often researchers are interested in the probability associated with a difference 1 2 between proportions 1 and 2 computed from samples drawn from two populations. The relevant sampling distribution is the distribution of the difference between the two sample proportions. Sampling distribution of 1 2 : Construction . The sampling distribution of a difference between two sample proportions would be constructed experimentally in exactly the same manner as was suggested in the case of the difference between two means (see handouts #9 - 11). Given two sufficiently small populations, one would draw, from population 1, all possible simple random samples of size n 1 and compute, from each set of sample data, the sample proportion 1 . From population 2, one would draw independently all possible simple random samples of size n 2 and compute, from each set of sample data, the sample proportion 2 . Then one would compute the differences between all possible pairs of sample proportions, where one number of each pair was a value of 1 and the other of value of 2 . At last, one would prepare a frequency distribution of differences  1 2  by listing the different distinct values of 1 2 along with their frequencies of occurrence. This frequency distribution (as well as the corresponding relative frequency distribution) would constitute the sampling distribution of 1 2 . Sampling distribution of 1 2 : Characteristics . The characteristics of the sampling distribution in question are as follows. Let us assume that we deal with two populations of dichotomous variables which may take one of two possible mutually exclusive values. If independent random samples of size n 1 and n 2
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern