A t-test has been conducted to compare the mean BMI between people who live in rural areas and people who live in urban areas. The p-value is 0.06 and the alpha is 0.10. Which of the following conclusions is correct: fail to reject the null hypothesis.
In hypothesis testing, the null hypothesis, represented as H₀, is the hypothesis that there is no significant difference between two populations or samples. The alternative hypothesis, H₁, is the hypothesis that there is a significant difference between the populations or samples being compared.The decision to accept or reject the null hypothesis is determined by comparing the p-value with the level of significance or alpha value. The alpha level is the maximum probability of rejecting the null hypothesis when it is true.
A p-value less than or equal to the alpha level indicates that the null hypothesis should be rejected. Conversely, if the p-value is greater than the alpha level, we fail to reject the null hypothesis.In this case, the p-value is 0.06, which is greater than the alpha level of 0.10. As a result, the null hypothesis is not rejected. As a result, the correct conclusion would be to fail to reject the null hypothesis. Therefore, the mean BMI between people who live in rural areas and people who live in urban areas is not significantly different at the 0.10 level of significance.
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