A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided b distribution of the variable differs from the given distribution. Distribution: 0.125, 0.1875, 0.25, 0.4375 Observed frequencies: 19, 22, 24, 31 Significance level = 0.05 quare goodness-of-fit test to decide, at the specified significance level, whether the

MATLAB: An Introduction with Applications
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A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided b
distribution of the variable differs from the given distribution.
Distribution: 0.125, 0.1875, 0.25, 0.4375
Observed frequencies: 19, 22, 24, 31
Significance level = 0.05
Determine the null and alternative hypotheses. Choose the correct choice below.
O A. Ho: The distribution of the variable is the same as the given distribution.
Ha:
: The distribution of the variable differs from the given distribution.
B. Ho: The expected frequencies are all equal to 5.
H₂: At least one expected frequency differs from 5.
O C. Ho: The distribution of the variable differs from the normal distribution.
Ha: The distribution of the variable is the normal distribution.
O D. Ho: The distribution of the variable differs from the given distribution.
Ha: : The distribution of the variable is the same as the given distribution.
Compute the value of the test statistic, x².
x² =
(Round to three decimal places as needed.)
Find the P-value.
P =
(Round to three decimal places as needed.)
Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?
quare goodness-of-fit test to decide, at the specified significance level, whether the
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 b distribution of the variable differs from the given distribution. Distribution: 0.125, 0.1875, 0.25, 0.4375 Observed frequencies: 19, 22, 24, 31 Significance level = 0.05 Determine the null and alternative hypotheses. Choose the correct choice below. O A. Ho: The distribution of the variable is the same as the given distribution. Ha: : The distribution of the variable differs from the given distribution. B. Ho: The expected frequencies are all equal to 5. H₂: At least one expected frequency differs from 5. O C. Ho: The distribution of the variable differs from the normal distribution. Ha: The distribution of the variable is the normal distribution. O D. Ho: The distribution of the variable differs from the given distribution. Ha: : The distribution of the variable is the same as the given distribution. Compute the value of the test statistic, x². x² = (Round to three decimal places as needed.) Find the P-value. P = (Round to three decimal places as needed.) Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution? quare goodness-of-fit test to decide, at the specified significance level, whether the
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