Question

The proportion of dental procedures that are extractions is 0.16. Which of the following exemplifies a...

The proportion of dental procedures that are extractions is 0.16. Which of the following exemplifies a Type I error in this situation?

a. We reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16.
b. We fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.
c. We reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.
d. We fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually 0.16.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given,

P=0.16

So, our hypothesis would be,

(Claim)

Firstly, we should know about type I error.

Type I error: Type I error is occur when "we reject Ho when Ho is actually true". P(Reject Ho| Ho is true)

So, in this situation type I error is, " We reject the claim that the proportion of dental procedures that are extractions is 0.16 (i.e we reject Ho, as per its defination) when the proportion is actually 0.16 (But actually Ho is true)."

Answer is (a).

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Identify the type I error and the type II error that corresponds to the given hypothesis....
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.26 Which of the following is a type I​ error? A.Fail to reject the claim that the proportion of people who write with their left hand is 0.26 when the proportion is actually 0.26 B.Fail to reject the claim that the proportion of people who write with their left hand is...
Regarding the definition of Type I and Type II error, which of the following is correct?...
Regarding the definition of Type I and Type II error, which of the following is correct? A) Type I error: Fail to reject the null hypothesis when it is actually false. B) Type II error: Reject the null hypothesis when it is actually true. C) The probability of Type I error is equal to the significance level. D) Neither Type I error nor Type II error can be controlled by the experimenter.
Assume that a hypothesis test of the given claim will be conducted. Identify the type I...
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. Question 7 A medical researcher claims that 6% of children suffer from a certain disorder. Identify the type I error for the test. Reject the claim that the percentage of children who suffer from the disorder is equal to 6% when that percentage is actually 6%. Fail to reject the claim that the percentage of children who...
You wish to test the following claim a significance level of α=0.01. Ho:p=0.16 Ha:p<0.16 You obtain...
You wish to test the following claim a significance level of α=0.01. Ho:p=0.16 Ha:p<0.16 You obtain a sample of size n=649 in which there are 83 successful observations. What is the test statistic for this sample? test statistic =  Round to 3 decimal places. What is the p-value for this sample? P-value =  Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the...
Describe type I and type II errors for a hypothesis test of the indicated claim. A...
Describe type I and type II errors for a hypothesis test of the indicated claim. A shoe store claims that at least 80% of its new customers will return to buy their next pair of shoes. Describe the type I error. Choose the correct answer below: a) A type I error will occur when the actual proportion of new customers who return to buy their next pair of shoes is no more than 0.80 but you reject H0: p≤0.80. b)...
Which of the following statement is correct? a. Type I errors can only occur if you...
Which of the following statement is correct? a. Type I errors can only occur if you fail to reject H0. b. Type II errors can only occur when you reject H0. c. When the sample size increases, both the probability of making Type I errors and the probability of making Type II errors can decrease. d. The level of significance is the probability of making a Type II error.
In order for a dose of Hepatitis  medicine to improve the condition of Hepatitis patients, the proportion...
In order for a dose of Hepatitis  medicine to improve the condition of Hepatitis patients, the proportion of the antibiotic in the dose needs to be precisely 40%.  If the proportion of antibiotic is more or less than 40%, the patients will die.  Merck, a manufacturer of the medicine,  wants to determine if the proportion of  antibiotic in the doses that are currently manufactured is different than 40%.  If the determination is that there is a difference from 40%, Merck will spend fifty million dollars to...
Identify the type I error and the type II error for a hypothesis test of the...
Identify the type I error and the type II error for a hypothesis test of the indicated claim. The percentage of households with more than 1households with more than 1 pet is greater than sixtyfive percent Identify the type I error. Choose the correct answer below. A. Reject the null hypothesis that the percentage of households with more than 1households with more than 1 pet is greater than 65 % when it is actually true. B. Fail to reject the...
1. Which of the following statements is true? The correlation coefficient (r) equals the proportion of...
1. Which of the following statements is true? The correlation coefficient (r) equals the proportion of times two variables lie on a straight line. The correlation coefficient (r) will be +1 only if all the data lie on a perfectly horizontal straight line. The correlation coefficient (r) measures the fraction of outliers that appear in a scatterplot. The correlation coefficient (r) is a unit-less number and must always lie between –1 and +1, inclusive An entomologist writes an article in...
Which of the following statements is true? 1.Type I error refers to β, or the probability...
Which of the following statements is true? 1.Type I error refers to β, or the probability that we conclude treatments are not different from each other when in reality the treatments are different from each other 2.Type II error refers to α, or the probability that we conclude the treatments are different from each other when in reality the treatments are not different. 3.Type II error refers to β, or the probability that we conclude treatments are not different from...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT