Part 1 of 4 One study indicates that the number of televisions that American households have is distributed as in the following table. Percent of U.S. Households that Own Certain Number of TVs Number of TVs Percent of Households 0 1 2 3 4+ A random sample of 544 households in North Dakota resulted in the data in the following table. Number of TVs Reported Owned by 544 households in North Dakota Number of TVs 0 1 2 3 4+ At the 4% significance level, does it appear that the distribution "number of televisions" of households in North Dakota is different from the distribution for U.S. households as a whole? Step 1: State the null and alternative hypotheses. Ho: The distribution of the number of televisions in households in North Dakota matches the distribution of households in United States as a whole. ✓ H₂: The distribution of the number of televisions in households in North Dakota does not match the distribution of households in United States as a whole. ✓ Number of TVs 0 Number of Households T Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. 1 To perform a goodness-of-fit test for this problem, use a [chi-square ✓degrees of freedom. 4 2 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Observed and Expected Values Observed Values (0) Expected Values (E) ✓ X 3 4+ 8% 16% 52% 16% 8% 36 75 301 98 34 Now find the p-value. P(x² Question Help: D Post to forum 36 75 301 98 34 ✓ ✓ ✓ ✓ 0 16 52 16 8 X X X X V✔ distribution with Part 3 of 4
Part 1 of 4 One study indicates that the number of televisions that American households have is distributed as in the following table. Percent of U.S. Households that Own Certain Number of TVs Number of TVs Percent of Households 0 1 2 3 4+ A random sample of 544 households in North Dakota resulted in the data in the following table. Number of TVs Reported Owned by 544 households in North Dakota Number of TVs 0 1 2 3 4+ At the 4% significance level, does it appear that the distribution "number of televisions" of households in North Dakota is different from the distribution for U.S. households as a whole? Step 1: State the null and alternative hypotheses. Ho: The distribution of the number of televisions in households in North Dakota matches the distribution of households in United States as a whole. ✓ H₂: The distribution of the number of televisions in households in North Dakota does not match the distribution of households in United States as a whole. ✓ Number of TVs 0 Number of Households T Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. 1 To perform a goodness-of-fit test for this problem, use a [chi-square ✓degrees of freedom. 4 2 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Observed and Expected Values Observed Values (0) Expected Values (E) ✓ X 3 4+ 8% 16% 52% 16% 8% 36 75 301 98 34 Now find the p-value. P(x² Question Help: D Post to forum 36 75 301 98 34 ✓ ✓ ✓ ✓ 0 16 52 16 8 X X X X V✔ distribution with Part 3 of 4
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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