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When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is 鈥渢he drug is unsafe.鈥 What is the Type II Error?

a. To conclude the drug is safe when in, fact, it is unsafe.

b. Not to conclude the drug is safe when, in fact, it is safe.

c. To conclude the drug is safe when, in fact, it is safe.

d. Not to conclude the drug is unsafe when, in fact, it is unsafe.

Short Answer

Expert verified

Type I error for the drug is safe: One thinks the drug is safe when, in fact, it really is not.

Type II error for the drug is not safe: One thinks the drug is not safe when, in fact, it really is.

Step by step solution

01

Introduction

Statistics main purpose is to verify or disprove a notion.

For example, you might conduct research and discover that a particular medicine is useful in the treatment of headaches.

No one will believe your findings if you can't repeat the experiment.

In statistical hypothesis testing, a type I error occurs when a null hypothesis is rejected when it is true.

The type II error arises when the null hypothesis is accepted even when it is false.

02

Explanation Part a

We are given H0The drug is unsafe. Therefore, the null hypothesis state that the drug is unsafe.

Rejecting the null hypothesis H0when it is true is defined as a Type I error.

The Type I error is: One thinks the drug is safe when, in fact, it really is not.

Failing to reject the null hypothesis when it is false is defined as a Type II error.

The Type II error is: One thinks the drug is not safe, when, in fact, it really is.

Hence, option a is incorrect.

03

Explanation Part b

Type II error occurs when the null hypothesis is accepted (not rejected) even when it is false. The Type II error is: One thinks the drug is not safe, when, in fact, it really is.

Since option b accepts the null hypothesis even when it is false.

04

Explanation Part c

The Type I error is: One thinks the drug is safe when, in fact, it really is not.

The Type II error is: One thinks the drug is not safe, when, in fact, it really is.

The option says that drug is safe even if it is actually safe, which defines none of the type I or type II error.

Hence, option c is incorrect.

05

Explanation Part d

The Type I error is: One thinks the drug is safe when, in fact, it really is not.

The Type II error is: One thinks the drug is not safe, when, in fact, it really is.

The option "d" says that drug is unsafe even if it is actually unsafe, which defines neither of the type I or type II error.

Hence, option d is incorrect.

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Most popular questions from this chapter

Refer to Exercise 9.119. Conduct a hypothesis test to see if your decision and conclusion would change if your belief were that the brown trout's mean I.Q is not four.

"Japanese Girls鈥 Names"

by Kumi Furuichi

It used to be very typical for Japanese girls鈥 names to end with 鈥渒o.鈥 (The trend might have started around my

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However, I noticed recently that only two out of nine of my Japanese girlfriends at this school have names which end with 鈥渒o.鈥 More and more, parents seem to have become creative, modernized, and, sometimes, westernized in naming their children.

I have a feeling that, while 70 percent or more of my mother鈥檚 generation would have names with 鈥渒o鈥 at the end,

the proportion has dropped among my peers. I wrote down all my Japanese friends鈥, ex-classmates鈥, co-workers, and

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Ai, Akemi, Akiko, Ayumi, Chiaki, Chie, Eiko, Eri, Eriko, Fumiko, Harumi, Hitomi, Hiroko, Hiroko, Hidemi, Hisako,

Hinako, Izumi, Izumi, Junko, Junko, Kana, Kanako, Kanayo, Kayo, Kayoko, Kazumi, Keiko, Keiko, Kei, Kumi, Kumiko,

Kyoko, Kyoko, Madoka, Maho, Mai, Maiko, Maki, Miki, Miki, Mikiko, Mina, Minako, Miyako, Momoko, Nana, Naoko,

Naoko, Naoko, Noriko, Rieko, Rika, Rika, Rumiko, Rei, Reiko, Reiko, Sachiko, Sachiko, Sachiyo, Saki, Sayaka, Sayoko,

Sayuri, Seiko, Shiho, Shizuka, Sumiko, Takako, Takako, Tomoe, Tomoe, Tomoko, Touko, Yasuko, Yasuko, Yasuyo, Yoko, Yoko, Yoko, Yoshiko, Yoshiko, Yoshiko, Yuka, Yuki, Yuki, Yukiko, Yuko, Yuko.

Since both and Sxare given, which should be used ? In one or two complete sentences, explain why.

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A normal distribution has a standard deviation of 1.We want to verify a claim that the mean is greater than12.

A sample of 36is taken with a sample mean of12.5.

H0:12

Ha:>12

Thep-value is0.0013.

Draw a graph that shows thep-value.

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