A researcher was conducting a chi-square test of homogeneity to assess if the di

Question

A researcher was conducting a chi-square test of homogeneity to assess if the distribution of voter preference is the same across four different districts. Analyzing the results led to a p-value of 0.03. Which statement(s) are correct regarding this p-value? Select all that apply. The probability that the null hypothesis is true is 0.03. The probability that the alternative hypothesis is true is 0.03. The smallest level of significance at which the null hypothesis can be rejected is 0.03. The largest level of significance at which the null hypothesis can be rejected is 0.03.

Explanation / Answer

P- Value basically is a function of test statistic which measures the extremeness of the sample observations. It is the Probability of getting a result equal to or more extreme to the one which was actually observed, under the assumption that the null hypothesis is true.

A low P value implies that sample provides enough evidence to reject the null hypothesis for the entire population.

therefore, the answer to the question is that a p-value 0.03 is the probabilty that the null hypothesis is true.

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