Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 193 times and got 85 heads. How significant is this evidence against equal probabilities? (Use 10% level of significance)

Answer parts (a) through (h).

5(a). Determine the Hypotheses: State the null and alternative hypotheses in words and in math notation.

5(b). Collect the Data. Enter values as decimals or whole numbers.

p₀ =

p^ = (Round to 2 decimal places)

n =

=

5(c) Form of H_a: [ Select: ">", "<", ""]

What test will you perform? [ Select: "right-tailed", "two-tailed", "left-tailed"]

5(d). Assess the Evidence:

(1) Calculate the mean, p^ and standard error, p^. Round values to 3 decimal places, if needed.

(2) Calculate the test statistic T.S. Round to 2 decimal places.

Is the test statistic unusual? Why?

Attach your calculations

5(e) Check your calculations. Enter value of the standard error, p^

5(f) Check your calculations. Enter value of the test statistic, T.S.

5(g). Use the test statistic to find the P-value. Round your answer to 3 decimal places.

5(h). State a Conclusion.

Compare the P-value with the level of significance:

P-value [ Select: ">", "<", "", "="]

Conclusion: [ Select: "fail to reject", "accept", "fail to accept", "reject"] H₀, [ Select: "fail to accept", "fail to reject", "accept", "reject"] H_a.

5(i). Interpret your decision in the context of the problem.