Question

You flip a coin and record whether it shows heads or tails. You know the probability of getting heads is $50\%$, but you

think it is less for this particular coin. What type of test would you use?

Short answer

A left-tailed test is used in this scenario.

Step-by-step solution

Introduction

The rejection zone in left-tailed test is at the extreme left of the distribution. The null hypothesis in this case is that the claimed value is less than or equal to the population mean value.

Explanation

As the alternative hypothesis asserts that the likelihood of getting a heads is less than $0.5$, a left-tailed test is required. For better understanding, the null and alternative hypotheses should always be written.

A diagram depicting a left-tailed test.