Test statistics

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. The Test Statistic is a Z-score corresponding to a particular Null Hypothesis. It is given below for the two types of claims:

    • Proportion:
    Z=p^pp(1p)nZ= \frac{ \hat{p}-p}{ \sqrt{{ \frac{p(1-p)}{n}}}}

    • Mean:
  1. Charlie goes to a thrift store and tries on 50 Hawaiian shirts. He finds that he likes 35 of them. If Charlie were to try on every Hawaiian shirt in the store what is the test statistic that he likes;
    1. 60% of all the Hawaiian Shirts?
    2. 70% of all the Hawaiian Shirts?
    3. 80% of all the Hawaiian Shirts?
  2. From a batch of 100 Toblerone Bars, the mean weight was found to be x=170\overline{x} =170g. It is known that the standard deviation of all Toblerone bars is σ=15\sigma=15g. Find the test statistic that the mean weight of all Toblerone bars is,
    1. μ=165 \mu=165g
    2. μ=170 \mu=170g
    3. μ=175 \mu=175g