HowardCC Correct Symbols & Notations to Formulate Hypotheses Probabilities Problems

You have a coin and not sure if it is a fair or not. Fair means that the coin has a 50–50% chance of getting HEADS or TAILS. An “unfair” coin has more chance of getting one result or another. Let’s assume these are the results of tossing the coin (H – for Heads, T for Tails).

H H H T H H T H H T T T H T H T T H T H H T H H H T HT T H T H T H T H H H T

1. Use correct symbols and notations to formulate the null and alternative hypotheses

2. Specify the appropriate hypotheses testing procedure that can be applied in your particular problem? (i.e. 2 sample Proportion z test, Paired t test, etc.)

3. State all the relevant assumptions or conditions regarding the test and indicate if those conditions are satisfied or not.

4. Compute the correct test statistic value , label and record that value here to 3 decimal places (X.XXX).

5. Compute the correct p-value based on both the test statistic and your hypotheses and record that p-value here to 5 decimal places (X.XXXXX), and

6. Show the test statistic and P value of the test on a graph.

7. Using a significance level of 5%, state clearly formulate your inference decision

8. Interpret the results in the context of the problem. Is the coin fair or not?