Question

Passing the ball between two players during a soccer game is a critical skill for the success of a team. A random sample of passes made by the English and German teams in the 2010 World Cup was drawn, and the number of successful passes in each sample was counted. Is there any difference in accuracy if we assume a level of significance of .01? See data below:

Germany	England
# of successful passes	69	71
Total in the sample	76	91

A
Reject the null, there is no difference in accuracy

Do not reject the null, there is no difference in accuracy

Reject the null, there is a difference in accuracy

Do not reject the null, there is a difference in accuracy

B
Independent Means

Independent Proportions

Proportion vs. Hypothesized Value

Paired Observations

Answer 1

Solution:

A

Do not reject the null, there is no difference in accuracy

B
Independent Proportions

Explanation:

We are given the tabular information:

	Germany	England
# of successful passes	69	71
Total in the sample	76	91

Therefore, we have:

The null and alternative hypotheses are:

Under the null hypothesis, the test statistic is:

The p-value is:

Since the p-value is greater than the significance level, we, fail to reject the null hypothesis and conclude that there is no difference in the accuracy.