Question

Given: H0: μboys=μgirls H1: μboys≠μgirls p-value = 0.0051, answer the following questions using 95% confidence level. 1. What statistical test is most appropriate for this hypothesis testing? One sample t test 2. What is the significance level (alpha)? [ Select ] 3. Using the statistic given above, what is your decision? [ Select ] 4. Using the statistic given above, what is your conclusion?

Answer 1

The appropriate statistical test is a two-sample t-test. The decision based on the p-value is to reject the null hypothesis. The conclusion is that the means of boys and girls are not equal.

Step-by-step explanation:

The most appropriate statistical test for this hypothesis testing is a two-sample t-test. This is because we are comparing the means of two independent groups (boys and girls) and the sample sizes are not equal.

The significance level, also known as alpha, is not provided in the question. Therefore, we cannot determine the value of alpha.

Based on the given p-value of 0.0051, we compare it to the chosen significance level (alpha) to make a decision. Since the p-value is less than alpha, we reject the null hypothesis (H0). This means that there is evidence to suggest that the means of boys and girls are not equal.

With a significance level of 0.05, and given the p-value of 0.0051, we conclude that there is sufficient evidence to support the alternative hypothesis (H1) that the means of boys and girls are not equal.