Question

A coin was flipped 72 times and came up heads 44 times. At the .10 level of significance, is the coin biased toward heads? (a-2) Calculate the Test statistic. (Carry out all intermediate calculations to at least four decimal places. Round your answer to 3 decimal places.) Test statistic

Answer 1

We need to carry out a hypothesis test verify the biasedness:

Step 1: Formulate a hypothesis:

Ho : p ≤ 0.5

Ha: p > 0.5

Where,

Probability of getting a head (Generally probability of getting a head from a coin is always 0.5)

Step 2: Set up the level of significance

The given level of significance is 0.10

Step 3: Deciding the test statsitic:

Z-test will be used to compute the test statistic

Following formula can be used to calculate the test statistic:

Step 4: Calculating the test statistic:

By putting given values in the above formulas, we get:

Step 5: Conclusion

By referring to the z table for z = 1.86 , we get p value = 0.0314.

Since, the calculated p value (0.0314) is less than level of significance (0.1). Therefore, Null hypothesis will rejected.

This means that the probability of getting the head is more than 0.5 or we can say the coin is biased towards head.