Football Watchers in America

Evaluating the Hypothesis Test:

To evaluate whether the percentage of adult Americans watching football regularly has increased, we can perform a hypothesis test on the data collected from the sample of 400 adults across the United States. The null hypothesis (H0) would be that the percentage remains the same as in 2012, while the alternative hypothesis (H1) would be that the percentage has increased.

Hypothesis Test Process:

Based on the sample data collected, we have 268 out of 400 adults responding that they regularly watch football. To conduct the hypothesis test, we will calculate the test statistic and compare it to the critical value at a significance level of alpha = 0.05.

First, we need to calculate the test statistic using the formula:

test statistic = (sample proportion - hypothesized proportion) / standard error

where the sample proportion is the percentage of adults in the sample who watch football regularly, the hypothesized proportion is the percentage from 2012, and the standard error is calculated based on the sample size.

Conclusion:

After performing the hypothesis test and comparing the test statistic to the critical value, we can determine whether there is evidence to reject the null hypothesis or not. If the test statistic falls within the critical region, we can conclude that there is sufficient evidence to suggest that the percentage of adult Americans watching football regularly has increased since 2012.