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-squa goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.1875, 0.1875, 0.3125, 0.3125 O Observed frequencies: 16, 19, 22, 39 Significance level = 0.05 Compute the value of the test statistic, x2. x2 = 0.063 (Round to three decimal places as needed.) Find the P-value. Choose the correct answer below. O A. 0.005 0.10 O E. 0.05

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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 below. Use the chi-squar
goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.
Distribution: 0.1875, 0.1875, 0.3125, 0.3125 O
Observed frequencies: 16, 19, 22, 39
Significance level = 0.05
Compute the value of the test statistic, x.
=|0.063
(Round to three decimal places as needed.)
Find the P-value. Choose the correct answer below.
O A. 0.005 <P<0.01
O B.hP <0.005
O C. 0.025 <P<0.05
O D. P>0.10
O E. 0.05 < P<0.10
O F. 0.01 <P<0.025
Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution?
O A. Yes because there is not sufficient evidence to reiect the null hvnothesis
(0.1)
More
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-squar goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution. Distribution: 0.1875, 0.1875, 0.3125, 0.3125 O Observed frequencies: 16, 19, 22, 39 Significance level = 0.05 Compute the value of the test statistic, x. =|0.063 (Round to three decimal places as needed.) Find the P-value. Choose the correct answer below. O A. 0.005 <P<0.01 O B.hP <0.005 O C. 0.025 <P<0.05 O D. P>0.10 O E. 0.05 < P<0.10 O F. 0.01 <P<0.025 Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution? O A. Yes because there is not sufficient evidence to reiect the null hvnothesis (0.1) More
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