Question

In: Statistics and Probability

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 221 people and find that 22 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 conclusion clearly in complete sentences.

thank you and use R if possible!

Expert Solution

The hypothesis being tested is:

H0: p = 0.09

Ha: p > 0.09

Observed	Hypothesized
0.0995	0.09	p (as decimal)
22/221	20/221	p (as fraction)
22.	19.89	X
221	221	n

	0.0193	std. error
	0.50	z
	.3100	p-value (one-tailed, upper)

The test statistic is 0.50.

The rejection region is z > 1.645.

The p-value is 0.3100.

Since the p-value (0.3100) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that the number is actually higher.

The graph is:

orchestra answered 2 years ago

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