Packages of mixed nuts made by a certain company contain four types of nuts. The

Question

Packages of mixed nuts made by a certain company contain four types of nuts. The percentages of nuts of Types 1, 2, 3, and 4 are supposed to be 40%, 30%, 20%, and 10%, respectively. A random sample of nuts is selected, and each one is categorized by type. (a) If the sample size is 200 and the resulting test statistic value is X^2 = 18.0, what conclusion would be appropriate for a significance level of 0.001? Reject H_0 Fail to reject H_0 (b) If the random sample had consisted of only 40 nuts, would you use the chi-square test here? Yes No

Explanation / Answer

a) Since there are 4 groups, the degrees of freedom(df) for Chi-square test is (4-1)=3

The critical value of the Chi-square test at 0.001 significance level and 3 df is 16.266

Since the test statistic value is greater than the critical value i.e., 18.0 >16.266, we can reject the Null hypothesis H0.

Hence the correct option is Reject H0

b) If the random sample consists of 40 nuts, then also we have to use Chi-square test because the 40 nuts will be categorised into 4 gropus

Hence the correct option is YES

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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