I. Direction: Multiple Choice: Choose the letter that corresponds to your answer. If the answer is not among the choices, choose E before the number. 1. A null hypothesis can only be rejected at the 5% significance if and only if A. The null hypothesis does not make sense. B. The alternate hypothesis is wrong at 5% of the time. C. At 95% confidence interval includes the hypothesized value of the parameter. D. A 95% confidence interval does not include the hypothesized value of the parameter. 2. Consider the null hypothesis H,:p = 0.18 indicates that the proportion of fat content of the burgers being sold in the canteen is 18% or less. Which of the following is true about the type I and type II error? A. A type I error occurs when the actual proportion is about 18% or more, but the null hypothesis is rejected. A type II error when the actual proportion is about18% or less but the null hypothesis is rejected. B. A type I error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected. A type II error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. C. A type I error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. A type II error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected. D. A type I error occurs when the actual proportion is about 18%, and the null hypothesis is rejected. A type II error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected.

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Chapter1: Starting With Matlab
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ANSWER ALL THE QUESTIONS AND WRITE THE CORRECT LETTER FOR EACH NUMBER

I.
Direction: Multiple Choice: Choose the letter that corresponds to your answer. If
the answer is not among the choices, choose E before the number.
1. A null hypothesis can only be rejected at the 5% significance if and only if
A. The null hypothesis does not make sense.
B. The alternate hypothesis is wrong at 5% of the time.
C. At 95% confidence interval includes the hypothesized value of the parameter.
D. A 95% confidence interval does not include the hypothesized value of the
parameter.
2. Consider the null hypothesis H,:p = 0.18 indicates that the proportion of fat content of
the burgers being sold in the canteen is 18% or less. Which of the following is true about
the type I and type II error?
A. A type I error occurs when the actual proportion is about 18% or more, but the
null hypothesis is rejected. A type II error when the actual proportion is
about18% or less but the null hypothesis is rejected.
B. A type I error occurs when the actual proportion is about 18% or less, but the
null hypothesis is rejected. A type II error occurs when the actual proportion is
about 18% or more, but the null hypothesis is accepted.
C. A type I error occurs when the actual proportion is about 18% or more, but the
null hypothesis is accepted. A type II error occurs when the actual proportion is
about 18% or less, but the null hypothesis is rejected.
D. A type I error occurs when the actual proportion is about 18%, and the null
hypothesis is rejected. A type II error occurs when the actual proportion is about
18% or less, but the null hypothesis is rejected.
Transcribed Image Text:I. Direction: Multiple Choice: Choose the letter that corresponds to your answer. If the answer is not among the choices, choose E before the number. 1. A null hypothesis can only be rejected at the 5% significance if and only if A. The null hypothesis does not make sense. B. The alternate hypothesis is wrong at 5% of the time. C. At 95% confidence interval includes the hypothesized value of the parameter. D. A 95% confidence interval does not include the hypothesized value of the parameter. 2. Consider the null hypothesis H,:p = 0.18 indicates that the proportion of fat content of the burgers being sold in the canteen is 18% or less. Which of the following is true about the type I and type II error? A. A type I error occurs when the actual proportion is about 18% or more, but the null hypothesis is rejected. A type II error when the actual proportion is about18% or less but the null hypothesis is rejected. B. A type I error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected. A type II error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. C. A type I error occurs when the actual proportion is about 18% or more, but the null hypothesis is accepted. A type II error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected. D. A type I error occurs when the actual proportion is about 18%, and the null hypothesis is rejected. A type II error occurs when the actual proportion is about 18% or less, but the null hypothesis is rejected.
For numbers 3 to 7, refer to the given situation: Erwin believes that with his
current internet subscription, he can download a 750 mb movie in just 14
minutes. In order to test his own claim, he took a random sample of 10
downloading time obtained a mean of 14.75 minutes with standard deviation of
| 1.75 minutes.
3. What are the null and alternate hypotheses?
A. Hg: μ- 14; Ho : μ + 14
B. H :μ+14 ; Ho: μ= 14
C. Ha:H < 14; Ho:H# 14
D. H μ< 14; H6: μ= 14
%3D
4. What type of test is appropriate for the situation?
A. z- test
B. t– test
C. x– test
D. F – test
5. What value of the test statistic?
А. 1.645
В. —1.645
C. 1.355
D. –1.355
6. Which of the following is the critical value at a = 0.05?
A. ±1.645
B. ±1.96
C. +1.833
D. +2.262
7. What is the decision in the test with 0.05 level of significance?
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis
C. The given information is not enough to make any conclusion
D. Cannot be determine.
8. What is the p – value for the two tailed hypothesis test with test statistics of
z = 1.93?
A. 0.0268
B. 0.0286
C. 0.0536
D. 0.2806
Transcribed Image Text:For numbers 3 to 7, refer to the given situation: Erwin believes that with his current internet subscription, he can download a 750 mb movie in just 14 minutes. In order to test his own claim, he took a random sample of 10 downloading time obtained a mean of 14.75 minutes with standard deviation of | 1.75 minutes. 3. What are the null and alternate hypotheses? A. Hg: μ- 14; Ho : μ + 14 B. H :μ+14 ; Ho: μ= 14 C. Ha:H < 14; Ho:H# 14 D. H μ< 14; H6: μ= 14 %3D 4. What type of test is appropriate for the situation? A. z- test B. t– test C. x– test D. F – test 5. What value of the test statistic? А. 1.645 В. —1.645 C. 1.355 D. –1.355 6. Which of the following is the critical value at a = 0.05? A. ±1.645 B. ±1.96 C. +1.833 D. +2.262 7. What is the decision in the test with 0.05 level of significance? A. Fail to reject the null hypothesis. B. Reject the null hypothesis C. The given information is not enough to make any conclusion D. Cannot be determine. 8. What is the p – value for the two tailed hypothesis test with test statistics of z = 1.93? A. 0.0268 B. 0.0286 C. 0.0536 D. 0.2806
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