Question

Question Four

For each of the following statements, circle T if you believe that the statement is true and F if you believe that the statement is false.

1. T          F          The smaller the level of significance, the more likely H₀ will be rejected.
2. T          F          The greater the level of confidence, the narrower the confidence interval.
3. T          F          For a given level of confidence, the narrower the interval the more accurate the best estimate of the population parameter should be.
4. T          F          The more variable the population, the less likely the best estimate of the population parameter will be an accurate estimate.
5. T          F          The larger the sample that is taken, the probability of making a type 2 error increases.
6. T          F          We can never conclude that H₀ is true based on taking a random sample from the population.
7. T          F            A stratified random sample is more preferred over a simple random sample when the population can be divided into homogeneous groups.

Answer 1

a. F
The smaller the level of significance, the less likely H0 will be rejected. Because for smaller level of significance ,the region of acceptance gets bigger.

b. F
The greater the confidence level, the wider the confidence interval.

c. T

d. F
The more variable the population, the more likely the best estimate of the population parameter will be an accurate estimate.

e. F
The larger the sample that is taken, the probability of making a type 2 error decreases. Because The power of the test could be increased by increasing the sample size, which decreases the risk of committing a type 2 error.

f. T
Yes, We can never conclude that H0 is true based on taking a random sample from the population.

g. T
Unlike simple random sampling Stratified random sampling involves the random selection of data from an entire population, so each possible sample is equally likely to occur.