1. Determine whether the outcome of the following hypothesis test was a correct
ID: 3206571 • Letter: 1
Question
1. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.
Claim: "The average retail of a 20 ounce bottle of water in this county is at least $2.00"
A hypothesis test of this claim resulted in the decision to reject H0. The actual average price is $1.95.
a. correct decision b. type II error
c. impossible to determine from the given information d. type I error
2. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.
Claim: "Less than 40% of college students graduate with student loan debt."
A hypothesis test of this claim resulted in the decision to reject H0. The actual percentage of college graduates with student loan debt is 45%.
a. correct decision b. type II error
c. impossible to determine from the given information d. type I error
3. Determine whether the outcome of the following hypothesis test was a correct decision, a type I error, or a type II error.
Claim: "At least 2/3 of dieters regain the weight they lost from dieting."
A hypothesis test of this claim resulted in the decision to fail to reject H0. The actual percentage of dieters who regained the weight they lost is 60%.
a. correct decision b. type II error
c. impossible to determine from the given information d. type I error
4. Identify the correct CONCLUSION of a hypothesis test of the following claim and sample data:
Claim: "Less than 14% of students would shop at the campus bookstore on Sundays."
A random sample of 153 students is selected, and 8% of them said they would shop at the bookstore if it was open on Sundays. Test the claim at the 0.01 significance level.
a. There is not sufficient evidence to warrant rejection of the claim.
b. There is sufficient evidence to warrant rejection of the claim.
c. There is sufficient evidence to support the claim.
d. There is not sufficient evidence to support the claim.
5. Identify the CONCLUSION in a hypothesis test of the following claim and sample data:
Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."
A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.
a. There is not sufficient evidence to warrant rejection of the claim.
b. There is sufficient evidence to warrant rejection of the claim.
c. There is sufficient evidence to support the claim.
d. There is not sufficient evidence to support the claim
6. Identify the value of the CRITICAL VALUE(S) used in a hypothesis test of the following claim and sample data:
Claim: "The average annual household income in Warren County is $47,500."
A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.
a. 2.374 b. 0.239
c. 2.33 d. 2.213
7. Identify the CONCLUSION of a hypothesis test of the following claim and sample data:
Claim: "The average annual household income in Warren County is $47,500."
A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.
a. There is not sufficient evidence to warrant rejection of the claim.
b. There is sufficient evidence to warrant rejection of the claim.
c. There is sufficient evidence to support the claim.
d. There is not sufficient evidence to support the claim.
choose the right multiple choice awnser and show work if you can thanks :)
Explanation / Answer
1. H0:mu>=2.00 versus H1:mu<2.00
Type I error refer to incorrect rejection of true null hypothesis and Type II error refer to incorrectly retaining a false null hypothesis. Here, the null hypothesis is not true, and therefore, has been rejected, so correct decision has been made. Ans> a.
2. H0:p<0.40 versus H1:p>0.40
Type I error refer to incorrect rejection of true null hypothesis and Type II error refer to incorrectly retaining a false null hypothesis. Here, the null hypothesis is not true, and therefore, has been rejected, so correct decision has been made. Ans> a.
3. H0:p>=0.67 versus H1:p<0.67
Type I error refer to incorrect rejection of true null hypothesis and Type II error refer to incorrectly retaining a false null hypothesis. Here, the null hypothesis is not true, but the researcher failed to reject it, so Type II error has been made. Ans> b
4. H0:p<0.14 versus H1:p>=0.14
Compute 1-proportion z test.
Z=(phat-p)/sqrt[p(1-p)/n], where, phat is sample proportion, p is population proportion, and n is sample size.
=(0.08-0.14)/sqrt[0.14(1-0.14)/153]
=-2.14
p value: 0.0161
Reject H0, if p value is less than given significance level 0.01. Here, p value is not less than less than 0.01, therefore, fail to reject H0. Ans> a
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