How to interpret the result according to the table below?Chi-square Tests Value df Asymptotic Significance (2-sided) Pearson Chi-Square 2.034 Likelihood Ratio 2.033 Linear-by-Linear Association 1.380 N of Valid Cases a) Since 0.034&lt;0.05, the Ho hypothesis is rejectedb) Since 0.033&lt;0.05, the Ho hypothesis is rejectedc) Since 0.034&lt;0.5, the Ho hypothesis is rejectedd) Since 0.380&gt;0.05, the Ho hypothesis is acceptede) Since 0.033&lt;0.5, the Ho hypothesis is rejected

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How to interpret the result according to the table below?Chi-square Tests Value  df  Asymptotic Significance (2-sided)  Pearson Chi-Square 2.034 Likelihood Ratio 2.033 Linear-by-Linear Association 1.380 N of Valid Cases  a) Since 0.034&amp;lt;0.05, the Ho hypothesis is rejectedb) Since 0.033&amp;lt;0.05, the Ho hypothesis is rejectedc) Since 0.034&amp;lt;0.5, the Ho hypothesis is rejectedd) Since 0.380&amp;gt;0.05, the Ho hypothesis is acceptede) Since 0.033&amp;lt;0.5, the Ho hypothesis is rejected

llevochalecoiozq · Accepted Answer

Hypothesis testing&amp;nbsp;For population characteristics like the population mean, population standard deviation, and so forth, hypothesis testing is done. &amp;nbsp;It is to see if the sample values agree or disagree with the original distribution&#039;s pre-stated parameter values. The hypothesis for the single population mean is conducted using the z- or t-test. The standard deviation&#039;s value affects the test that is chosen.There are three types of chi-square tests:Chi-square test of independenceChi-square test of homogeneityChi-square goodness of fit testLevel of significance: The likelihood that a null hypothesis will be rejected in a hypothesis test when it is true. &amp;nbsp;In other words, if the value of test statistic exceeds the critical value, we conclude that the null hypothesis has been rejected.The decision rule for the chi-square test is as follows:In terms of test statistic--Reject the null hypothesis if the test value falls within the rejection region; if it does not, then the null hypothesis should not be rejected.In terms of p value--The null hypothesis should be rejected if the p value is less than the significance level and should not be rejected if it exceeds the significance level.Here, the Pearson&#039;s chi-square p value is 0.034. Assume that the level of significance is 0.05.Using the decision rule as stated above,as the p value (0.034) is less than the significance level (=0.05 ), reject the null hypothesis.So, option a is correct.

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