Proportion Paper Essay Example | Topics and Well Written Essays - 750 words

Proportion Paper - Essay Examplefor a proportion, pattern size required for a proportion, confidence musical interval for the difference of two proportion, comparison of a proportion with hypothesized proportion, and comparison of two proportions will be discussed.Central Limit Theorem (CLT) for a Proportion arouse that As sample size increases, the distribution of the sample proportion p = x/n approaches a normal distribution with mean and stock(a) deviation.The statistic p = x/n is assumed normally distributed when the sample is large. A conservative rule of thumb that normality may be assumed whenever n 10 and n(1 ) 10. This rule requires a very large sample size to assume normality when differs greatly from 0.50 (Doane & Seward 2007). utilize the Central Limit Theorem, the probability that a sample proportion will fall within a given interval can be stated. The confidence interval for a population proportion, at a given confidence level (1 ) is given byThe value of z ca n be obtained victimization normal table (Z table) or using Excel function NORMINV(/2). The width of the confidence interval for a population proportion, depends on the sample size, confidence level (1 ), and the sample proportion p.The estimate of difference and type deviation of two-population proportion can be given by and , respectively. Using this estimate, a confidence interval for the difference of two population proportions, (1 2), is given byFor normal sampling distribution, the test statistic for the opening test will be z score. This test statistic is compared with critical value of z score at the selected level of significance, for retaining or rejecting null hypothesis (H0).The test statistic for a population proportion with hypothesized proportion 0 is the difference between the sample proportion p and the hypothesized proportion 0 divided by the estimated standard error of the proportion (denoted p) as given belowThe assumptions of comparison