Question

Is there a baby season? Or does every season have the same number of babies born...

Is there a baby season? Or does every season have the same number of babies born each year? The table below shows the number of babies, from 1000 that were looked at, that were born in each season. Fill in the expected frequencies.

Season

Observed Frequency

Expected Frequency

Spring

278

Summer

242

Fall

236

Winter

244

Test if the distribution is as expected at the 5% significance level.

Test Statistic (Round to 2 decimal places):

P-value (Round to 2 decimal places):

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

In this problem, we have to test, Is there a baby season or not.

H0: Every season has the same number of babies born each year.

H1: Every season has the unequal number of babies born each year.

This is a problem of the goodness of fit which can be tested by Chi-Square test.

Value of test statistic is 4.32

P-value is 0.23

Since, P-value is less than 0.05 i.e. 5%. So, we will reject the Null Hypothesis. Hence, we can conclude that every season has the unequal number of babies born each year.

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