Question

can she conclude that the distribution in residence is different today at a 0.05 level of significance? enter the p-value - round to 4 decimal places. make sure you put a 0 in front of the decimal. p-value

Answer 1

The p-value of 0.0175 is less than the significance level (α) of 0.05, indicating sufficient evidence to reject the null hypothesis and conclude the distributions in residence are different at the 5 percent level.

Step-by-step explanation:

When comparing a given level of significance (commonly denoted as α) with a p-value, we determine whether the evidence in the data is strong enough to reject the null hypothesis (Π). The p-value is a measure of how likely it is to achieve a result at least as extreme as the one observed, if the null hypothesis were true.

In your case, with a determined p-value of 0.0175 and assuming the level of significance (α) to be 0.05, you would compare them as follows:

• If α > p-value, then there is sufficient evidence to reject the null hypothesis (Π), indicating that the populations are significantly different.

Therefore, since 0.05 is greater than 0.0175, we reject Π and conclude that the distributions in residence are indeed different today, at the 5 percent level of significance.