Question

According to a study from 2005, the average number of guns owned per American household is 1.7. A group that wants the second amendment repealed believes that this figure is too low to describe current gun ownership. The group randomly selects 625 American and finds they have a grand total of 1250 guns. Does the sample data support the group's belief? Test the relevant hypotheses at a significance level of x = 0.02. Assume the standard deviation is 3.4

Show your work.

Answer 1

n = 625



The test hypothesis is

This is a one-sided test because the alternative hypothesis is formulated to detect the difference from the hypothesized mean on the upper side
Now, the value of test static can be found out by following formula:

Since the sample size is n = 625, degrees of freedom on the t-test statistic are n-1 = 625-1 = 624
This implies that

Since , we reject the null hypothesis in favor of the alternative hypothesis