The mean hours of internet usage by adult in the US is claimed to be 25 hours per week. A hypothesis test is performed at a level of significance of 0.05 with a p-value of 0.08. Choose the best interpretation of the hypothesis test.
To interpret the hypothesis test, we first need to understand what the null and alternative hypotheses are. In this case, the null hypothesis (H0) would be that the mean hours of internet usage by adults in the US is equal to 25 hours per week. The alternative hypothesis (Ha) would be that the mean hours of internet usage is not equal to 25 hours per week.
Based on the given information, the p-value is 0.08. The p-value represents the probability of obtaining the observed data or more extreme data if the null hypothesis were true.
In hypothesis testing, we compare the p-value to the chosen level of significance (α) to make a decision regarding the null hypothesis. The level of significance is typically set beforehand and represents the maximum probability of rejecting the null hypothesis when it is true.
In this case, the level of significance is given as 0.05 (or 5%). Since the p-value of 0.08 is greater than the significance level of 0.05, we do not have enough evidence to reject the null hypothesis. This means that we do not have sufficient evidence to conclude that the mean hours of internet usage is different from 25 hours per week.
Therefore, the best interpretation of this hypothesis test is that there is not enough evidence to suggest that the mean hours of internet usage by adults in the US is significantly different from 25 hours per week at the 0.05 level of significance.