Shawn and Robert are comparing the scout patches they've earned. Shawn has a total of 8 patches, 5 of which are explorer patches. Robert has a total of 6 patches, 3 of which are explorer patches. Do Shawn and Robert have the same ratio of explorer patches to total patches?

1.703

Step-by-step explanation:

The reason we try to find t score is because the sample size is below 30, meaning the sample size is small

Hence:

Step 1

We find the degree of freedom

The Degrees of freedom = Number of samples - 1

The random number of samples = 28

= 28 - 1

= 27

Step 2

Using a t score table or t score calculator, we can obtain the t score value for a 90% confidence interval and degree of freedom of 27

90% confidence interval =

10% significance level = 0.10 for two tails or 0.1/2 = 0.05 for one tail

Hence: t90 = 1.703