p-Wert in der Statistik einfach erklärt | Hypothesen-Test | Beispiel | wirtconomy

Q & A

What is the p-value in statistics?

The p-value in statistics helps interpret the results of statistical tests. It indicates the likelihood of observing the test results under the null hypothesis, and determines whether to accept or reject the new hypothesis.

What does the p-value indicate about a hypothesis test?

The p-value indicates whether the new hypothesis should be accepted or rejected. If the p-value exceeds the given significance level (alpha), the null hypothesis is not rejected, and the new hypothesis is not accepted.

How does the p-value relate to the significance level?

The p-value must be compared to the significance level (alpha). If the p-value is smaller than alpha, the result is considered statistically significant, and the null hypothesis is rejected. If the p-value is larger, the null hypothesis is not rejected.

In the smartphone battery example, what were the two hypotheses?

The two hypotheses were: Hypothesis 1 (H1) suggested that the battery life of the smartphone is less than 15 hours, while Hypothesis 0 (H0) stated that the battery lasts at least 15 hours.

What was the sample size used to test the smartphone battery hypothesis?

A sample size of 100 smartphones was used to test the hypothesis regarding the battery life.

What was the mean battery life of the sample in the smartphone example?

The mean battery life of the sample was 14.9 hours.

What significance level was chosen for the statistical test in the example?

A significance level of 5%, or 0.05, was chosen for the statistical test in the smartphone battery example.

What was the p-value obtained from the test in the smartphone example?

The p-value obtained from the test was 0.15, which was higher than the significance level of 0.05.

What conclusion can be drawn from the p-value being larger than the significance level?

Since the p-value of 0.15 was larger than the significance level of 0.05, the null hypothesis (H0) was not rejected. Therefore, the smartphone's battery life is not statistically different from the typical battery life for smartphones in that price range.

What does the p-value of 0.15 imply about the smartphone battery's performance?

The p-value of 0.15 implies that there is no statistically significant evidence to support the claim that the smartphone's battery lasts less than 15 hours. Therefore, it is likely that the battery life is comparable to other smartphones in the same price range.