29- 750 units of product are produced in 3 different production lines. It is desired to investigate whether there is a difference between the production lines at the 95% confidence level. Find the chi-square calculation value.  a) 514  B) 20  NS) 45  D) 34  TO) 2nd

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29-

750 units of product are produced in 3 different production lines. It is desired to investigate whether there is a difference between the production lines at the 95% confidence level. Find the chi-square calculation value.

 a)

514

 B)

20

 NS)

45

 D)

34

 TO)

2nd

observed
expected
Production line
A
B
250
250
200
250
250
C
300
total
750
750
Transcribed Image Text:observed expected Production line A B 250 250 200 250 250 C 300 total 750 750
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Step 1

Chi-Square Test: In statistical hypothesis test, a chi-square test, or specifically Pearson's chi-square test is performed when the test statistic is distributed as chi-square under the null hypothesis. This test is used to determine whether there is a significant difference between the observed and the expected frequencies in one or more categories of a contingency table.

In the standard applications of this test, the observations are classified into mutually exclusive classes. If the null hypothesis is true i.e. there are no significant differences between the classes in the population, the test statistic which is computed from the observations follows a chi-square frequency distribution. The purpose of the test is to determine how likely the observed frequencies would be assuming the null hypothesis is true.

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