Chi-Square Goodness of Fit Quiz
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Chi-Square Goodness of Fit Quiz

Test your knowledge on chi-square tests for goodness of fit with this quiz! Explore the scenario of David recording his daily emails and determine if the number of emails follows a uniform distribution. Challenge yourself with calculating chi-squared values and interpreting the results.

Created by
@TrendySphene

Questions and Answers

Which statistical test should be performed to determine if the number of emails follows a uniform distribution?

Chi-square test for goodness of fit

What is the expected number of emails David was expecting to receive each day?

30

What is the formula for calculating the chi-squared test statistic?

$\chi^2 = \sum \frac{(O - E)^2}{E}$

What is the chi-squared test statistic for the given data?

<p>1.40</p> Signup and view all the answers

Study Notes

Determining Distribution of Emails

  • To determine if the number of emails follows a uniform distribution, a chi-squared goodness of fit test should be performed.

Expected Emails per Day

  • David was expecting to receive an equal number of emails each day, implying a uniform distribution.

Chi-Squared Test Statistic Formula

  • The formula for calculating the chi-squared test statistic is: χ² = Σ [(Oi - Ei)² / Ei], where Oi is the observed frequency and Ei is the expected frequency.

Chi-Squared Test Statistic for the Given Data

  • The chi-squared test statistic for the given data needs to be calculated using the formula and the provided data.

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