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 Alaska resulted in the data in the following table. Number of TVs Reported Owned by 544 households in Alaska Number of TVs Number of Households 0 1 2 3 4+ O 4 At the 7% significance level, does it appear that the distribution "number of televisions" of households in Alaska 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 Alaska matches the distribution of households in United States as a whole. ✓or 10% 16% 54% 14% 6% Ha: The distribution of the number of televisions in households in Alaska does not match the distribution of households in United States as a whole. ✓ 47 73 Number of TVs 0 321 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a chi-square O degrees of freedom. 1 63 40 2 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. 3 4+ Part 2 of 4 Observed and Expected Values Observed Values (0) Expected Values (E) o distribution with Part 3 of 4

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 Alaska resulted in the data in the following table.
Number of TVs Reported Owned by 544
households in Alaska
Number of TVs Number of Households
0
1
2
3
4+
4
At the 7% significance level, does it appear that the distribution "number of televisions" of households in
Alaska 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 Alaska matches the distribution households in United States as a whole.
10%
16%
54%
14%
6%
Ha:
The distribution of the number of televisions in households in Alaska does not match the distribution of households in United States as a whole.
47
73
Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to
perform the goodness-of-fit test.
To perform a goodness-of-fit test for this problem, use a chi-square
odegrees of freedom.
Number of TVs
0
321
63
40
1
Step 3: Find the p-value of the point estimate.
First identify the observed and expected values.
Observed and Expected Values
Observed Values (O) Expected Values (E)
2
3
4+
Part 2 of 4
o distribution with
Part 3 of 4
Transcribed Image Text: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 Alaska resulted in the data in the following table. Number of TVs Reported Owned by 544 households in Alaska Number of TVs Number of Households 0 1 2 3 4+ 4 At the 7% significance level, does it appear that the distribution "number of televisions" of households in Alaska 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 Alaska matches the distribution households in United States as a whole. 10% 16% 54% 14% 6% Ha: The distribution of the number of televisions in households in Alaska does not match the distribution of households in United States as a whole. 47 73 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a chi-square odegrees of freedom. Number of TVs 0 321 63 40 1 Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Observed and Expected Values Observed Values (O) Expected Values (E) 2 3 4+ Part 2 of 4 o distribution with Part 3 of 4
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