Question

recall from question 4 that the critical value for the parameters of this dataset is 3.841. accordingly, what can we infer? the null hypothesis cannot be rejected and the difference between the observed and the expected values can be explained by chance. the null hypothesis is rejected and the difference between the observed and the expected values cannot be explained by chance. the null hypothesis is rejected and the difference between the observed and the expected values can be explained by chance. the null hypothesis cannot be rejected and the difference between the observed and the expected values cannot be explained by chance

Explanation:

In hypothesis - testing, if the calculated test - statistic is less than the critical value, the null hypothesis cannot be rejected, and differences between observed and expected values are likely due to chance. Without information about the calculated test - statistic, we assume a general rule. If we were to compare a test - statistic with the given critical value of 3.841, and if the test - statistic is less than 3.841, the null hypothesis cannot be rejected and the difference can be explained by chance.

Answer:

The null hypothesis cannot be rejected and the difference between the observed and the expected values can be explained by chance.