Various studies indicate that approximately 9% of the world's population is left handed. You think this...

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Various studies indicate that approximately 9% of the world's population is left handed. You think this...

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 233 people and find that 24 of them are left handed. Test your claim at the 5% significance level.

Part a: State your null and alternative hypotheses.

Part b: Sketch the rejection region.

Part c: Calculate the test statistic. Plot this value in your sketch in part b.

Part d: Determine the P-value for your test. Part e: State your conclusions clearly in complete sentences

math Statistics-And-Probability

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Answer 1

Answer #1

Here we have: n 233 x 24 Sample proportion: P 0.103 oc = 0.05 (5 % significance level) Hypotheses: Ho: p 0.09 Ha; p# 0.09 Test statistics: Z-test 24 n 233 p-p 0.103-0.09 px(1-P 0.09(1-0.09) 223 p - value - p(z> [0.68 0.4965

The result is not significant at p< 0.05 Critical value: Ze-Z0.05/2 = 1.96

Rejection Rejectron 之

Fail to reject the null hypotheses, Here we have not sufficient evidence to reject the null hypothesis.

Z - observed value (0.68) is less than Z - critical value (1.96) and not in the rejection region.

Conclusion: here we can say that approximately 9% of the world's population is left handed research or study is right.

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Answer 2

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