Are the new quarters fair? Flip 5 different coins 50x times. Data : coin#1 CA 20

Question

Are the new quarters fair? Flip 5 different coins 50x times.

Data :
coin#1 CA 2016 29 Heads 21 Tails
coin #2 VA 2015 27 Heads 23 Tails
coin #3 AL 2009 31 Heads 19 Tails
coin#4 NV 2000. 23 Heads 27 Tails
coin #5 OH 1999 28 heads 22 Tails

****Use 1 Prop Z test on this

For each coin, perform a hypothesis test.

Which hypothesis test is appropriate?

Are the conditions met?

State your null and alternative hypotheses.

Calculate the test statistics and state numner of test if (t or z)
.
What is the P value?

Using a significance level of a=0.05, decide whether to reject or not reject the null hypothesis.

What is your conclusion?

Explanation / Answer

n heads Tails p Hypo Test Conditions Met Null Hypo Alternate Hypo SE = sqrt(0.5*0.5/50) test statistics p-value Conclusion Coin 1 50 29 21 0.58 z-test Yes p = 0.5 p not equals 0.5 0.0707 1.1314 0.2579 Do not reject Coin 2 50 27 23 0.54 z-test Yes p = 0.5 p not equals 0.5 0.0707 0.5657 0.5716 Do not reject Coin 3 50 31 19 0.62 z-test Yes p = 0.5 p not equals 0.5 0.0707 1.6971 0.0897 Do not reject Coin 4 50 23 27 0.46 z-test Yes p = 0.5 p not equals 0.5 0.0707 -0.5657 0.5716 Do not reject Coin 5 50 28 22 0.56 z-test Yes p = 0.5 p not equals 0.5 0.0707 0.8485 0.3961 Do not reject

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