Which of the following distributions is considered the cornerstone distribution of statistical inference?
a. Binomial distribution
b. Normal distribution
c. Poisson distribution
d. Uniform distribution
e. Geometric distribution
Q. 2A sample of size 100 selected from one population has 60 successes, and a sample of size 150 selected from a second population has 95 successes. The test statistic for testing the equality of the population proportions equal to:
a. -0.5319
b. 0.7293
c. -0.419
d. 0.2702
e. -0.3518
Q. 3Which of the following is not true for a normal distribution?
a. It is unimodal.
b. It is symmetrical.
c. It is discrete.
d. It has a bell-shape.
e. It is unimodal and discrete.
Q. 4When the necessary conditions are met, a lower tailed test is being conducted for the difference between two population proportions. If the value of the test statistic is -2.50, then the p-value is 0.0062.
Indicate whether the statement is true or false
Q. 5If Z is a standard normal random variable, the area between z = 0.0 and z = 1.50 compared to the area between z = 1.5 and z = 3.0 will be:
a. the same
b. larger
c. smaller
d. zero
e. none of these
Q. 6When the necessary conditions are met, an upper tailed test is being conducted for the difference between two population proportions. If the value of the test statistic is 2.90, then the p-value is 0.0038.
Indicate whether the statement is true or false
Q. 7If Z is a standard normal random variable, the area between z = 0.0 and z = 1.30 is 0.4032, while the area between z = 0.0 and z = 1.50 is 0.4332 . What is the area between z = 1.30 and z = 1.50?
a. 0.0300
b. 0.0668
c. 0.0968
d. 0.8364
e. 0.1428
Q. 8When the necessary conditions are met, a two-tailed test is being conducted for the difference between two population proportions. If the value of the test statistic is -1.35, then the p-value is 0.0885.
Indicate whether the statement is true or false
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