Final answer:
The p-value provided is 0.0044, and since this is less than the alpha level of 0.05, the decision is to reject the null hypothesis, indicating the results are statically significant at the 5 percent significance level.
Step-by-step explanation:
In the context of hypothesis testing in statistics, the p-value is used to make decisions about the null hypothesis. The p-value represents the probability of obtaining test results at least as extreme as the results observed during the study, assuming that the null hypothesis is true. In your case, you've mentioned a p-value of 0.0044 and an alpha (α) level of 0.05. If the p-value is less than alpha, it suggests that the observed data are highly inconsistent with the null hypothesis, and it should be rejected.
Based on the information provided:
- Alpha (α): 0.05
- Decision: Reject the null hypothesis
- Reason for Decision: p-value (0.0044) < alpha (0.05)
- Conclusion: At the 5 percent significance level, there is sufficient evidence to claim that the parameter of interest is statistically significant.
To answer the student's original question - the p-value is 0.0044, which, when compared to the alpha level of 0.05, leads to rejection of the null hypothesis because the p-value is lower than the alpha level. This implies that, at a 5 percent significance level, there is sufficient evidence to conclude that the data do not support the null hypothesis.
The complete question is: b using the sample from the 100 restaurants, what is the p value? is: