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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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need g and h answered

**Hypothesis Testing Tutorial: Gender Selection**

In this exercise, we conduct a hypothesis test at a significance level (α) of 0.05 to examine if the proportion of baby girls born, when parents use the XSORT method of gender selection, is different from 0.5. We assume sample data consisting of 55 girls born in 100 births, resulting in a sample statistic that has a 10.0 standard deviation above 0.

**Questions and Steps:**

a. **Identify the null hypothesis and the alternative hypothesis.**
   - Null Hypothesis (Ho): p = 0.50
   - Alternative Hypothesis (Ha): p ≠ 0.50

b. **What is the value of α?**
   - The significance level α is 0.05.

c. **What is the sampling distribution of the sample statistic?**
   - The sampling distribution of the sample statistic is assumed to be normal.

d. **Is the test two-tailed, left-tailed, or right-tailed?**
   - The test is two-tailed because we are checking for a difference (not direction-specific) from 0.50.

e. **What is the value of the test statistic?**

f. **What is the P-value?**

g. **What is the critical value?**

h. **What is the area of the critical region?**

(Note: The specific values for e, f, g, and h require further calculation based on the data and statistical tables, which are not provided in the text above.)

This step-by-step analysis helps understand the procedure for conducting hypothesis tests in statistical studies, particularly in the context of gender selection methods.
Transcribed Image Text:**Hypothesis Testing Tutorial: Gender Selection** In this exercise, we conduct a hypothesis test at a significance level (α) of 0.05 to examine if the proportion of baby girls born, when parents use the XSORT method of gender selection, is different from 0.5. We assume sample data consisting of 55 girls born in 100 births, resulting in a sample statistic that has a 10.0 standard deviation above 0. **Questions and Steps:** a. **Identify the null hypothesis and the alternative hypothesis.** - Null Hypothesis (Ho): p = 0.50 - Alternative Hypothesis (Ha): p ≠ 0.50 b. **What is the value of α?** - The significance level α is 0.05. c. **What is the sampling distribution of the sample statistic?** - The sampling distribution of the sample statistic is assumed to be normal. d. **Is the test two-tailed, left-tailed, or right-tailed?** - The test is two-tailed because we are checking for a difference (not direction-specific) from 0.50. e. **What is the value of the test statistic?** f. **What is the P-value?** g. **What is the critical value?** h. **What is the area of the critical region?** (Note: The specific values for e, f, g, and h require further calculation based on the data and statistical tables, which are not provided in the text above.) This step-by-step analysis helps understand the procedure for conducting hypothesis tests in statistical studies, particularly in the context of gender selection methods.
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