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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________.

a. at least 20%, when in fact, it is less than 20%.

b. 20%, when in fact, it is 20%.

c. less than20%, when in fact, it is at least 20%.

d. less than 20%, when in fact, it is less than 20%.

Short Answer

Expert verified

The correct answer is option c which is less than 20%when in fact, it is at least20%

Step by step solution

01

Introduction

First we have to write the null and alternative hypotheses. H0:p=20;Ha:p<20

It is important to learn how to write null and alternate hypotheses to solve this kind of problem.

02

Explanation part A

For a Type I error to occur H0 has to be rejected even when it is True.

a is incorrect because the null hypothesis stated that Evergreen College pupils who went to the opening show of the recent HP movie equals 20%.

03

Explanation Part B

For a Type I error to occur H0 has to be rejected even when it is True.

b is incorrect option because the null hypothesis stated that Evergreen College pupils who went to the opening show of the recent HP movie less than20%

04

Explanation Part C

For a Type I error to occur H0 has to be rejected even when it is True.

Therefore the correct answer is option c. less than 20%when in fact, it is at least 20%.

The null hypothesis was rejected as the null hypothesis stated that Evergreen College pupils who went to the opening show of the recent HP movie equals20

05

Explanation Part D

For a Type I error to occur H0 has to be rejected even when it is True.

a is incorrect because the null hypothesis stated that Evergreen College pupils who went to the opening show of the recent HP movie equals 20%but the option states less than 20%which is infact less only.

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Most popular questions from this chapter

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