please help with all questions on page 2. Which of the following is a r test sta

Question

please help with all questions on page

2. Which of the following is a r test statistic? 3. If a hypothesis is rejected at a 1% level of significance, it will also not be rejected at the 5% level always be rejected at the 5% level c. sometimes be rejected at the 5% level d. Not enough information is given to answer this questjon 4. 5. 6. If the sample proportion is 0.5, someone calculates the margin of error for you which is 0.2. What is your interval estimate? When the significance level is 0.01, the value of za/2 is 0 Which of the following does not need to be known in order to compute the p-value? a. b. knowledge of whether the test is one-tailed or two-tailed the level of significance the value of the test statistic none of the above is correct. d. 7. A Type I error is committed when we reject a null hypothesis that is true a. b. we don't reject a null hypothesis that is true we reject a null hypothesis that is false. c. d. we don't reject a null hypothesis that is false. 8. The power of a test is measured by its capability of a. rejecting a null hypothesis that is true b. not rejecting a null hypothesis that is true. c. rejecting a null hypothesis that is false. d. not rejecting a null hypothesis that is false.

Explanation / Answer

Solution:

Question 2

Answer: c

(Xbar - µ)/[s/sqrt(n)]

(In t test statistic, we use Sample standard deviation ‘s’ instead of population standard deviation ‘’.)

Question 3

Answer: b

Always be rejected at the 5% level because p-value should be less than 0.01 at 1% level of significance, which is also less than 0.05 level of significance.

Question 4

Answer:

We are given

Sample Proportion = P = 0.5

Margin of error = E = 0.2

Confidence interval = P -/+ E

Lower limit = P – E = 0.5 – 0.2 = 0.3

Upper limit = P + E = 0.5 + 0.2 = 0.7

Confidence interval = (0.3, 0.7)

Interval estimate is (0.3, 0.7)

Question 5

We are given

= 0.01

/2 = 0.01/2 = 0.005

Critical value = Z/2 = Z0.005 = 2.5758

(By using z-table)

Question 6

Answer: b

The level of significance is not required for calculation of the p-value. We require test statistic value, type of test (one or two tailed) for the calculation of p-value.

Question 7

Answer: a

Type I error is committed when we reject a null hypothesis that is true.

Type I error is defined as the probability of rejecting null hypothesis which is true.

Question 8

Answer: c

Rejecting a null hypothesis that is false

Power is defined as the probability of making correct decision or rejecting a null hypothesis that is false.

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