Part 6: Nominal Variable Hypothesis Testing (20 pts total) Section I: A research
ID: 3317089 • Letter: P
Question
Part 6: Nominal Variable Hypothesis Testing (20 pts total) Section I: A researcher wants to be sure that the sample in her study is not unrepresentative of the distribution of ethnic groups in her community. Her sample includes 300 White Americans, so Black Americans, 100 Hispanics, 40 Asians, and 80 others. In her community, according to census records, there are 48% White Americans, 12% Black Americans, 18% Hispanics, 9% Asians, and 13% others. Using the .05 significance level determine if her sample is unrepresentative of the population in her community Indicate whether you need to do a chi-square goodness-of-fit test or chi-square test of independence and why Use the five steps of hypothesis testing to determine if the researcher's sample is or is not representative of the population in her community. Use the.05 significance level a. b. Indicate the two populations and state your null and research hypotheses using population parameters symbols. i. ii. Determine the characteristics of the comparison distribution ii. Determine the cut-off sample score on the comparison distribution at which the iv. Determine your sample's score on the comparison distribution. (make the table v. Decide whether to reject the null hypothesis and state the conclusion about the null hypothesis should be rejected. we have practiced with!) distribution of the sample compared to the known distribution in the population in plain English.Explanation / Answer
chi - square goodness of fit as we want to check if the sample fits the distribution of population
b) null: sample fits the distribution of population
alternate: sample does not fit the distribution of population
iii) critical value = 9.487
iv) TS = 5.6623
v) since TS < critical value we fail to reject the null
p Oi Ei (Oi-Ei)^2/Ei 0.48 300 288 0.5 0.12 80 72 0.888888889 0.18 100 108 0.592592593 0.09 40 54 3.62962963 0.13 80 78 0.051282051 1 600 TS 5.662393162 critical value 9.487729037