Math 227 - Statistics » Spring 2023 » 15KC Basics of Hypothesis Testing & Testing a Claim About Proportion

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Question #1
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What population parameter is being tested?
A.   Standard Deviation or Variance
B.   Proportion
C.   Mean
D.   Linear Correlation Coefficient
E.   Goodness-of-Fit or Independence or Homogeneity
Question #2
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. How many populations are being tested?
A.   Two
B.   More than two
C.   One
Question #3
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. Calculate the sample proportion (round to the nearest ten-thousandth).
A.   0.0871
B.   0.0757
C.   0.0715
D.   0.0775
Question #4
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the claim? (At this point, you should have already selected the formula that will be used to calculate the test statistic and written it in the test statistic box.)
A.   p < 0.11
B.   p > 0.11
C.   p = 0.11
D.   p ≠ 0.11
E.   p ≤ 0.11
F.   p ≥ 0.11
Question #5
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. The claim is the _________ hypothesis.
A.   alternative
B.   null
Question #6
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the alternative hypothesis?
A.   p ≤ 0.11
B.   p ≠ 0.11
C.   p < 0.11
D.   p ≥ 0.11
E.   p > 0.11
F.   p = 0.11
Question #7
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. The critical region is best described as ____________.
A.   left-tailed
B.   right-tailed
C.   two-tailed
Question #8
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the significance level (expressed as a decimal)?
A.   0.08
B.   0.09
C.   0.06
D.   0.07
Question #9
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the critical value (rounded to the hundredth)?
A.   1.99
B.   1.48
C.   2.11
D.   1.88
Question #10
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the test statistic (rounded to the nearest hundredth)?
A.   -1.24
B.   -1.44
C.   -1.14
D.   -1.22
Question #11
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the statistical conclusion?
A.   Fail to reject H0.
B.   Reject H0.
Question #12
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the wordy conclusion?
A.   There is not sufficient evidence to warrant rejection of the claim that the percentage of orange marbles is at most 11%.
B.   There is sufficient evidence to warrant rejection of the claim that the percentage of orange marbles is at most 11%.
C.   There is sufficient evidence to support the claim that the percentage of orange marbles is at most 11%.
D.   There is not sufficient evidence to support the claim that the percentage of orange marbles is at most 11%.
Question #13
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What population parameter is being tested?
A.   Mean
B.   Standard Deviation or Variance
C.   Goodness-of-Fit or Independence or Homogeneity
D.   Proportion
E.   Linear Correlation Coefficient
Question #14
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. How many populations are being tested?
A.   One
B.   More than two
C.   Two
Question #15
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. Calculate the sample proportion (rounded to the nearest ten-thousandth).
A.   0.0775
B.   0.0577
C.   0.0755
D.   0.0715
Question #16
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the claim? (At this point, you should have already selected the formula that will be used to calculate the test statistic and written it in the test statistic box.)
A.   p = 0.11
B.   p ≠ 0.11
C.   p < 0.11
D.   p ≥ 0.11
E.   p ≤ 0.11
F.   p > 0.11
Question #17
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. The claim is the _________ hypothesis.
A.   null
B.   alternative
Question #18
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the alternative hypothesis?
A.   p < 0.11
B.   p ≥ 0.11
C.   p ≠ 0.11
D.   p ≤ 0.11
E.   p > 0.11
F.   p = 0.11
Question #19
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the test statistic (rounded to the nearest hundredth)?
A.   -1.24
B.   -1.14
C.   -1.22
D.   -1.44
Question #20
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. The critical region is best described as ____________.
A.   left-tailed
B.   two-tailed
C.   right-tailed
Question #21
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the p-value (rounded to the nearest ten-thousandth)?
A.   0.8978, 0.8980
B.   0.8989, 0.8991
C.   0.8923, 0.8925
D.   0.8813, 0.8815
Question #22
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the significance level (expressed as a decimal)?
A.   0.08
B.   0.06
C.   0.09
D.   0.07
Question #23
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the statistical conclusion?
A.   Fail to reject H0.
B.   Reject H0.
Question #24
John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the p-value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%. What is the wordy conclusion?
A.   There is sufficient evidence to warrant rejection of the claim that the percentage of orange marbles is at most 11%.
B.   There is sufficient evidence to support the claim that the percentage of orange marbles is at most 11%.
C.   There is not sufficient evidence to support the claim that the percentage of orange marbles is at most 11%.
D.   There is not sufficient evidence to warrant rejection of the claim that the percentage of orange marbles is at most 11%.
Question #25
STATDISK has the ability to find test statistics, critical values, and p values when testing hypotheses about the population proportion. The next questions are designed to introduce you to these functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video. The claim being tested is p=.25 with a 3.08% significance level. A sample of size 221 that resulted in 42 successes is used to test the claim. What is the p-value? (Round to the nearest ten-thousandth.)
A.   0.0396
B.   0.0336
C.   0.0369
D.   0.0399
Question #26
The claim being tested is p=0.8 with a 5.15% significance level. A sample resulted in 60 out if 154 successes is used to test the claim. What is the test statistic? (Round to the nearest ten-thousandth.)
A.   -12.732
B.   -11.979
C.   -12.618
D.   -12.771

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