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Chapter 9: Q.11 (page 546)

Refer to Exercise 1. In Simon’s SRS, 16 of the students were left-handed. A significance test yields a P-value of 0.2184.

(a) Interpret this result in context.

(b) Do the data provide convincing evidence against the null hypothesis? Explain.

Short Answer

Expert verified

a. When the population proportion is0.12there is0.2184chance of having 16or more left-handed students

b. No

Step by step solution

01

Explanation part (a)

We have,

sample size n = 100

population value p =0.2184

old population value p = 0.12

Calculating the null and alternative hypotheses,

Ho:p=0.12Ha:p≠0.12

When the population proportion is 0.12there is role="math" localid="1651658713340" 0.2184chance of having 16 or more left-handed students.

02

explanation part (b)

The null hypothesis is not valid if p value is less than 10%or 0.1

We know, p = role="math" localid="1651658846359" 0.2184which is greater than0.1

Hence the data does not provide convincing evidence against the null hypothesis as it cant be removed.

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