Egyptian fruit bats in the wild commonly eat loquats, figs and wild dates. Aresearcher wanted to see whether Egyptian fruit bats showed any preference amongthese three types of fruit. To test that, the researcher collected a sample of 60 fruit bats.Each bat was given an opportunity to select one of the three types of fruit, and its choicewas recorded. The following frequencies were observed: Loquats Figs Wild dates 122523a. What type of test should be used to analyze these data?b. conduct the appropriate test

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Egyptian fruit bats in the wild commonly eat loquats, figs and wild dates. Aresearcher wanted to see whether Egyptian fruit bats showed any preference amongthese three types of fruit. To test that, the researcher collected a sample of 60 fruit bats.Each bat was given an opportunity to select one of the three types of fruit, and its choicewas recorded. The following frequencies were observed: Loquats  Figs  Wild dates 122523a. What type of test should be used to analyze these data?b. conduct the appropriate test

anghoelv1lw · Accepted Answer

The Chi-square test is a statistical test that is a nonparametric test. This is used for categorical data. Using this we find the difference between observed frequency and expected frequency. The chi-square test statistic is given by,χ2=(O−E)2E, where O is observed frequency and e is expected frequency.1. Here we use the chi-square test for goodness of fitH0:Fruits are uniformly selectedH1:Fruits are not uniformly selected.Compute expected frequencyHere total number of fruits=60Number of verieties=3=603=20Apply chi square testOE(O-E)2(O-E)2E1220643.22520251.25232090.45&amp;nbsp;&amp;nbsp;&amp;nbsp;∑(O-E)2E=4.9Test statistic,χ2=∑(O−E)2E=4.9Here degrees of freedom=(k-1)=2At a 5% level of significance, the critical value is 5.99 (from chi-square table)If the critical value is greater than test statistics we accept the null hypothesis. Otherwise, rejectHere 5.99&amp;gt;4.9Hence we accept the null hypothesis.Conclusion: The fruits are uniformly selected.

Egyptian fruit bats in the wild commonly eat

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