State whether the following statements are True or False. (6 marks, 1 Mark Each)

Question

State whether the following statements are True or False. (6 marks, 1 Mark Each)

1- A type I error is the mistake of rejecting the null hypothesis when it is actually false.
2- Two samples are independent if the sample values selected from one population are not related to the sample values from the other population.
3- The null hypothesis (denoted by H0) is a statement that the value of a population parameter is equal to some value.
4- In case of hypothesis testing for a sample, the t statistic is used if is not known and sample size n is greater than 5 (n>5)
5- A claim that two population proportions are equal, each of the two samples must satisfy the requirement that np 30 and nq 30.         
6- In an unpaired samples t-test with sample sizes n1= 21 and n2= 11, the value of t should be obtained at 32 degree of freedom.


                 Section-II

(Multiple Choice Questions)
1- If p-value < , then
a)Reject H0
b)Accept H0
c)Reject H1
d)All the above

2- The MEAN of the Student t_distribution is
a) equal to 0
b)less than 1
c) less than 0
d)greater than 1

3- A decision in a hypothesis test can be made by using a :
a) P-value
b) Critical Value
c)A and B
d)None of the above

4- When carrying out a large sample test of H0: 0 = 10 vs. H: 0 > 10 by using a rejection point, we reject H0 at level of significance when the calculated test statistic is:
a)Less than z
b)Less than - z
c)Greater than z/2
d)Greater than z

5- A randomly selected sample of 500 college students was asked whether they had ever used the drug Ecstasy. Sixteen percent (16% or 0.16) of the 500 students surveyed said they had. Which one of the following statements about the number 0.16 is correct?
a)It is a population proportion.
b)It is a margin of error.
c)It is a sample proportion.
d)It is a randomly chosen number.

6- Sample sizes n1 = 100, n2 = 100 and numbers x1 = 39, x2 = 41 of successes to find the pooled estimate p
a) 0.4
b) 0.8
c) 0.36
d) 0.48

Explanation / Answer

1- A type I error is the mistake of rejecting the null hypothesis when it is actually false. -False

2-  Two samples are independent if the sample values selected from one population are not related to the sample values from the other population. True

3- The null hypothesis (denoted by H0) is a statement that the value of a population parameter is equal to some value. True

4- In case of hypothesis testing for a sample, the t statistic is used if is not known and sample size n is greater than 5 (n>5) - True

5- A claim that two population proportions are equal, each of the two samples must satisfy the requirement that np 30 and nq 30. - False

6- In an unpaired samples t-test with sample sizes n1= 21 and n2= 11, the value of t should be obtained at 32 degree of freedom. - False

1- If p-value < , then
a)Reject H0

2- The MEAN of the Student t_distribution is
a) equal to 0

3- A decision in a hypothesis test can be made by using a :

c)A and B

4- When carrying out a large sample test of H0: 0 = 10 vs. H: 0 > 10 by using a rejection point, we reject H0 at level of significance when the calculated test statistic is:

d)Greater than z

5- A randomly selected sample of 500 college students was asked whether they had ever used the drug Ecstasy. Sixteen percent (16% or 0.16) of the 500 students surveyed said they had. Which one of the following statements about the number 0.16 is correct?

c)It is a sample proportion.

6- Sample sizes n1 = 100, n2 = 100 and numbers x1 = 39, x2 = 41 of successes to find the pooled estimate p
a) 0.4

P = (x1+x2)/(n1+n2) = 80/200 = 0.4

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