1. A population consists of 4 types of units, A, B; C, and D. A theory suggests that these should occur in the ratios 3:3:3:1, respectively. A random sample breaks down as follows: Туре number observed C D 19 3 9 9. Carry out a chi-squared goodness of fit test to see if this data fits the theory, and give (a) the test statistic and (b) the P-value of the tesSt. If some cell has too low an expected frequency, combine that cell with cell C. Does the data contradict the theory? (c) Answer this question "yes" or "no" based on the results of the goodness of fit test at the a = .05 significance level.

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1. A population consists of 4 types of units, A, B, C, and D. A theory suggests that these
should occur in the ratios 3:3:3:1, respectively. A random sample breaks down as follows:
Туре
number observed
A
C D
19
3
9
9.
Carry out a chi-squared goodness of fit test to see if this data fits the theory, and give
(a) the test statistic and (b) the P-value of the tesSt. If some cell has too low an expected
frequency, combine that cell with cell C. Does the data contradict the theory? (c) Answer
this question "yes" or "no" based on the results of the goodness of fit test at the a = .05
significance level.
Transcribed Image Text:1. A population consists of 4 types of units, A, B, C, and D. A theory suggests that these should occur in the ratios 3:3:3:1, respectively. A random sample breaks down as follows: Туре number observed A C D 19 3 9 9. Carry out a chi-squared goodness of fit test to see if this data fits the theory, and give (a) the test statistic and (b) the P-value of the tesSt. If some cell has too low an expected frequency, combine that cell with cell C. Does the data contradict the theory? (c) Answer this question "yes" or "no" based on the results of the goodness of fit test at the a = .05 significance level.
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