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)

1. 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