6. Find the critical value Za/2 that corresponds to a 99% confidence level.

MATLAB: An Introduction with Applications
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**Lab Assignment**

**Section 7.1**

*Name:_______________________________*

*Due Date:___________________________*

*This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week.*

**Math 34**

6. Find the critical value \( z_{\alpha/2} \) that corresponds to a 99% confidence level.

8. Find \( z_{\alpha/2} \) for \( \alpha = 0.04 \).

10. Express the confidence interval \( 0.165 < p < 0.335 \) in the form of \( \hat{p} \pm E \).

12. Express the confidence interval \( 0.270 \pm 0.087 \) in the form of \( \hat{p} - E < p < \hat{p} + E \).

18. **Gender Selection** The Genetics and IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys.

   a. What is the best point estimate of the population proportion of boys born to parents using the YSORT method?

   b. Use the sample data to construct a 99% confidence interval estimate of the proportion of boys born to parents using the YSORT method.

   c. Based on the results, does the YSORT method appear to be effective? Why or why not?

*PAGE 90*
Transcribed Image Text:**Lab Assignment** **Section 7.1** *Name:_______________________________* *Due Date:___________________________* *This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week.* **Math 34** 6. Find the critical value \( z_{\alpha/2} \) that corresponds to a 99% confidence level. 8. Find \( z_{\alpha/2} \) for \( \alpha = 0.04 \). 10. Express the confidence interval \( 0.165 < p < 0.335 \) in the form of \( \hat{p} \pm E \). 12. Express the confidence interval \( 0.270 \pm 0.087 \) in the form of \( \hat{p} - E < p < \hat{p} + E \). 18. **Gender Selection** The Genetics and IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceiving a boy. As of this writing, 291 babies were born to parents using the YSORT method, and 239 of them were boys. a. What is the best point estimate of the population proportion of boys born to parents using the YSORT method? b. Use the sample data to construct a 99% confidence interval estimate of the proportion of boys born to parents using the YSORT method. c. Based on the results, does the YSORT method appear to be effective? Why or why not? *PAGE 90*
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