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Chapter 9: Q.11 (page 546)

Refer to Exercise 1. In Simon鈥檚 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鈮�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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Most popular questions from this chapter

One-sided test Suppose you carry out a significance test of H0:渭=5versus Ha:渭>5based on a sample of size n=20and obtain t=1.81.

(a) Find the P-value for this test using (i) Table Band (ii) your calculator. What conclusion would you draw at the 5%significance level? At the 1%significance level?

(b) Redo part (a) using an alternative hypothesis ofHa:渭鈮�5.

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A local high school makes a change that should improve student satisfaction with the parking situation. Before the change, 37% of the school鈥檚 students approved of the parking that was provided. After the change, the principal surveys an SRS of 200 of the over 2500 students at the school. In all, 83 students say that they approve of the new parking arrangement. The principal cites this as evidence that the change was effective. Perform a test of the principal鈥檚 claim at the 伪=0.05 significance level.

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