A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.3, 0.2, 0.1, 0.3, 0.1 Observed frequencies: 11, 9, 6, 12, 12 Significance level = 0.10 Determine the null and alternative hypotheses. Choose the correct answer below.
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.3, 0.2, 0.1, 0.3, 0.1 Observed frequencies: 11, 9, 6, 12, 12 Significance level = 0.10 Determine the null and alternative hypotheses. Choose the correct answer below.
MATLAB: An Introduction with Applications
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![(Round to three decimal places as needed.)
Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?
OA. No, because there is sufficient evidence to reject the null hypothesis.
B. Yes, because there is not sufficient evidence to reject the null hypothesis.
C. No, because there is not sufficient evidence to reject the null hypothesis.
O D. Yes, because there is sufficient evidence to reject the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F517d42aa-3d22-4973-9ca9-01fed9054391%2F4f1b6738-9907-4064-bb11-0f98053f9755%2F2gt2re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(Round to three decimal places as needed.)
Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?
OA. No, because there is sufficient evidence to reject the null hypothesis.
B. Yes, because there is not sufficient evidence to reject the null hypothesis.
C. No, because there is not sufficient evidence to reject the null hypothesis.
O D. Yes, because there is sufficient evidence to reject the null hypothesis.
![A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide,
specified significance level, whether the distribution of the variable differs from the given distribution.
Distribution: 0.3, 0.2, 0.1, 0.3, 0.1
Observed frequencies: 11, 9, 6, 12, 12
Significance level = 0.10
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The distribution of the variable differs from the normal distribution.
Ha: The distribution of the variable is the normal distribution.
B. Ho: The expected frequencies are all equal to 5.
Ha: At least one expected frequency differs from 5.
OC. Ho: The distribution of the variable differs from the given distribution.
Ha: The distribution of the variable is the same as the given distribution.
O D. Ho: The distribution of the variable is the same as the given distribution.
Ha: The distribution of the variable differs from the given distribution.
Compute the value of the test statistic, x².
x² = 0
(Round to three decimal places as needed.)
Identify the critical value.
The critical value is
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F517d42aa-3d22-4973-9ca9-01fed9054391%2F4f1b6738-9907-4064-bb11-0f98053f9755%2Fnri75ru_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide,
specified significance level, whether the distribution of the variable differs from the given distribution.
Distribution: 0.3, 0.2, 0.1, 0.3, 0.1
Observed frequencies: 11, 9, 6, 12, 12
Significance level = 0.10
Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The distribution of the variable differs from the normal distribution.
Ha: The distribution of the variable is the normal distribution.
B. Ho: The expected frequencies are all equal to 5.
Ha: At least one expected frequency differs from 5.
OC. Ho: The distribution of the variable differs from the given distribution.
Ha: The distribution of the variable is the same as the given distribution.
O D. Ho: The distribution of the variable is the same as the given distribution.
Ha: The distribution of the variable differs from the given distribution.
Compute the value of the test statistic, x².
x² = 0
(Round to three decimal places as needed.)
Identify the critical value.
The critical value is
(Round to three decimal places as needed.)
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