A statistics instructor gave a four-question true-false quiz to his class of 85 students. The results were as follows. Number correct 0 Observed Send data to Excel 1 7 11 Part: 0 / 4 The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is 0.5. Under this null hypothesis, the number of correct answers has a binomial distribution with 4 trials and success probability 0.5. Perform a chi-square test of this hypothesis. Can you reject H at the a= 0.01 level? Use the P-value method with the TI-84 Plus calculator. Part 1 of 4 2 3 4 37 20 10 (a) State the null and alternate hypotheses. Ho: The number of correct answers (Choose one) H₁: The number of correct answers (Choose one) ▼ a binomial distribution with 4 trials and success probability 0.5. a binomial distribution with 4 trials and success probability 0.5. X

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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(b) Compute the P- value.

(c) Determine whether to reject H0

(d)State a conclusion

A statistics instructor gave a four-question true-false quiz to his class of 85 students. The results were as follows.
Number correct 0
Observed
Send data to Excel
Part: 0 / 4
1
7 11
Part 1 of 4
2
3
37 20
4
The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is 0.5. Under this
null hypothesis, the number of correct answers has a binomial distribution with 4 trials and success probability 0.5. Perform a chi-square test of this hypothesis.
Can you reject Ho at the a= 0.01 level? Use the P-value method with the TI-84 Plus calculator.
10
(a) State the null and alternate hypotheses.
Ho: The number of correct answers (Choose one)
H₁: The number of correct answers (Choose one)
binomial distribution with 4 trials and success probability 0.5.
a binomial distribution with 4 trials and success probability 0.5.
Transcribed Image Text:A statistics instructor gave a four-question true-false quiz to his class of 85 students. The results were as follows. Number correct 0 Observed Send data to Excel Part: 0 / 4 1 7 11 Part 1 of 4 2 3 37 20 4 The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is 0.5. Under this null hypothesis, the number of correct answers has a binomial distribution with 4 trials and success probability 0.5. Perform a chi-square test of this hypothesis. Can you reject Ho at the a= 0.01 level? Use the P-value method with the TI-84 Plus calculator. 10 (a) State the null and alternate hypotheses. Ho: The number of correct answers (Choose one) H₁: The number of correct answers (Choose one) binomial distribution with 4 trials and success probability 0.5. a binomial distribution with 4 trials and success probability 0.5.
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