Please dear answer these question
State whether the following statements are True or False.
- A type I error is the mistake of rejecting the null hypothesis when it is actually true.
- .The null hypothesis is rejected if the P-value 0.05.
- .Two samples are dependent if the sample values are matched pairs.
- .In case of hypothesis testing for a sample, the t statistic is used if is not known and sample size n is greater than 30.
- .A claim that two population proportions are equal, each of the two samples must satisfy the requirement that and .
- .The Student t distribution and the normal distribution are symmetric.
(Multiple Choice Questions)
- Area of the rejection region depends on ...
- Size of α
- Size of β
- Test-Statistic.
- Number of values
2 . A randomly selected sample of 1000 college students was asked whether they had ever used the drug ecstasy. Sixteen percent 16% or 0.16) of the 1000 students surveyed said that they had. Which one of the following statements about the number 0.16 is correct?
- It's a sample proportion.
- It's a population proportion.
- It's a margin of error.
- It's a randomly chosen number.
3. A decision in a hypothesis test can be made by using a
- P-value
- Critical Value
- A and B
- None of the above
4. When carrying out a large sample test of H0: = 10 vs. Ha: > 10 by using a rejection point, we reject H0 at level of significance when the calculated test statistic is:
- Less than
- Less than -
- Greater than
- Greater than
5. Sample sizes n1 = 50, n2 = 50 and numbers x1 = 15, x2 = 5 of successes to find the pooled estimate
- 0.4
- 0.2
- 2.0
- None of the above
6. Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 130 acceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 120 acceptable assemblies. The pooled proportion for acceptable assemblies is:
- 250/270
- 270/250
- 20/270
- 270/20