Only #7 A random sample of college students were asked Women whether they were l

Question

Only #7

A random sample of college students were asked Women whether they were left-handed, right-handed, or ambidextrous: Is there evidence, at the .01 level of significance, that the distributions of the handedness in women and men are the same? That is. Handedness is not independent of the Gender of the student? Show all steps of hypothesis testing. Using the same data from Problem #6. let pi be the true proportion of men that are Left-Janded. Test a. Which test statistic should be used? b. What is the value of the test statistic for this data? c. What is the p-value corresponding to the value of the test statistic?

Explanation / Answer

1)a)here as we need to compare proportions

two sample z test for proportions needs to be used

b) here p1hat =21/150 =0.14

and p2hat =6/150 =0.04

hence std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2 =0.0325

hence test stat z =(p1hat-p2hat)/std error =3.0734

c)for above p value =0.001

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.