At a western hospital, there were a total of 932 births in 20 consecutive weeks. Of...

At a western hospital, there were a total of 932 births in 20 consecutive weeks. Of these births, 216 occurred on weekends. Based on these data, are births rates different on weekends compared to weekdays? Use a chi-square test.

I have already done the chi-square test with 1 proportion. The question I need help with is listing 2 other statistical tests that can be used to test the hypothesis and what the advantages/disadvantages are.

Expert Solution

Solution:

2 other statistical tests that can be used to test the hypothesis are:

1) An alternative to chi-square is Fisher's exact test.

Advantages of using Fisher's exact test instead of Chi square test.

Unlike chi-square--an approximate statistic, Fisher's is exact, and it allows for directional (confirmatory) as well as non-directional (exploratory) hypothesis-testing.
All value in 2 x 2 table greater then or equal to 5, then you can use the chi-square test. Any one having in 2 x 2 table less than 5 then you will go to Fisher exact test.

Advantages of using Chi square test instead of Fisher's exact test.

The test is exact in guaranteeing that the type I error is less than or equal to what you specify. It can however be much less, i.e., P-values are too large and power is lost. In this sense ordinary chi-square tests are generally "more accurate" than "exact" tests.

2) One proportion z test

Advantages of using Chi square test instead of one proportion z-test.

A chi-square goodness-of-fit test can be conducted when there is one categorical variable with more than two levels. If there are exactly two categories, then a one proportion z test may be conducted. The levels of that categorical variable must be mutually exclusive.

orchestra answered 1 year ago

At a western hospital there was a total of 932 births in 20 consecutive weeks. Of...

At a western hospital there was a total of 932 births in 20 consecutive weeks. Of these births, 216 occurred on weekends. Based on these data, are birth rates different on weekends and weekdays? a) Name two statistical methods that could be used to test hypotheses. State the advantages and disadvantages of both.

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