Question

Use the following information to answer questions 8-12:

Various studies indicate that approximately 9% of the world's population is left handed. You think this number is actually higher. You take an SRS of 222 people and find that 23 of them are left handed. Test your claim at the 5% significance level.

8) State your null and alternative hypotheses.

a. H₀: p = 0.09; H_a: p < 0.09

b. H₀: p = 0.09; H_a: p > 0.09

c. H₀: p = 0.09; H_a: p ≠ 0.09

9) State the rejection region.

10) Calculate the test statistic.

11) Determine the P-value for your test.

a. p-value = 0.239

b. p-value = 0.120

c. p-value = 0.521

d. p-value = 0.479

e. p-value = 0.761

12) State your conclusion for your hypothesis test.

a. Reject the null hypothesis which states which states that the world's population of left handed people is 9% in favor of the alternate which states it is actually higher.

b. Fail to reject the null hypothesis. There is not enough evidence to conclude that the proportion of left handers is higher than 9%.

c. There is not enough information to make a conclusion.

Answer 1