hey tutors, please help me answer these following matching questions.

Question #1) a, The risk we are willing to take of a type 1 error , or the type 1 error rate

b, Rejection of H0 when H0 is false, or not rejecting H0 when H0 is true

c, Failure to reject H0 When H0 is false

d, Rejection of H0 when H0 is true

• Type 1 error
• Type 2 error
• Not an error
• a

Question #2) a, Reject H0

b, The power of a test = P(rejecting H0IH0 false)

c, The probability of a type 2 error

d, Test of this hypothesis requires 1- tailed test with upper reject region

e, Test of this hypothesis requires 1- tailed test with lower reject region bounded by negative critical value

f, Test of this hypothesis requires 1- tailed test with lower reject region bounded by negative critical value and upper reject region bounded by positive critical value.

• beta
• 1- beta
• pvalue less than a
• _{H0: population mean less than 0}
• H0: population mean grater than 0
• H0: population mean =0

QUESTION #3) a, For any test hypothesis, ANOVA, or Chi squared, this rule for rejecting H0 always applies

b, One- tail test with lower reject region

c, One- tail test with upper reject region

d, Two-tail test with lower and upper reject regions

• Test statistic grater than critical value
• Test statistic less than negative critical value
• Test statistic outside interval ( negative critical value , positive critical value)
• pvalue less than a

Question #4) a, Does the data validate the normal probability distribution assumption?

b, Do contingency table classification values matter?

c, Data gathered in an experiment comparing the effects of three insecticides in controlling a certain species of parasitic beetle. each observation represents the number of such insects found dead in a certain fixed area treated with an insecticide.

d, A multinomial probability distrbution describes the distribution of counts across multiple levels of a variable.

• ANOVA
• Chi- square test of homogeneity
• Chi- square test of independence
• Chi- square test of goodness of fit

Question #5) a, Run times (msec) of a new phone app developed by GotYourGP and established competitor WeTrackYou.Inc. are logged in a data file. At a = 0.05, are the run times of GotYourGP and WeTrackYou.Inc comparable?

b, Test size C battery mean life is at least 25 hours

c, Given weights of 31, 29, 26, 33, 40, 28, 30, and 25, at a = 0.05 test that the population mean is 35.

d, Testing that a gasoline additive increases mileage, we compute mpg with additive minus mpg without additive for each car. if the mean of the differences is positive enough, action will be required to implement the additive.

• 1- tailed test of propotion with negative critical value
• 2- tailed test of mean with both negative and positive critical values
• 1 - tailed test of mean with negative critical value
• 1 - tailed test of paired - data with positive critical value
• 2- tailed test of means of 2 independent populations
• An effective vaccine would reduce the proportion of exposed persons contracting disease.