Question

We want to construct a 95% confidence interval to estimate p t − p c using the sample data in the table below. Assume that p is the proportion who tested positive.

	Treatment	Control	Total
Positive	4	8	12
Negative	80	86	166
Total	84	94	178

Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval?

Group of answer choices

Yes, the z distribution may be used

No, the z distribution should not be used

Researchers want to construct a 99% confidence interval to estimate the difference in the proportion of children using two different STEM curricula who say they like science. Data from their samples are presented in the following table:

	Do you like science?
	Yes	No	Total
Curriculum A	33	18	51
Curriculum B	38	12	50
Total	71	30	101

Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval?

Group of answer choices

Yes, it is appropriate to use the z distribution

No, it is not appropriate to use the z distribution

H 0 : μ 1 − μ 2 = 0

H a : μ 1 − μ 2 ≠ 0

You want to test these hypotheses using data that you collected from small samples:

Group	N	Mean	StDev	SE Mean
Group 1	15	14.546	3.245	0.838
Group 2	14	15.156	5.974	1.597

Which of the following procedures is appropriate?

Group of answer choices

Independent means t test

Randomization test

Answer 1

We want to construct a 95% confidence interval to estimate p t − p c using the sample data in the table below. Assume that p is the proportion who tested positive.

	Treatment	Control	Total
Positive	4	8	12
Negative	80	86	166
Total	84	94	178

Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval?

Answer :- Yes, the z distribution may be used

( since the samples are large enough , that is greater than 0 )

Researchers want to construct a 99% confidence interval to estimate the difference in the proportion of children using two different STEM curricula who say they like science. Data from their samples are presented in the following table:

	Do you like science?
	Yes	No	Total
Curriculum A	33	18	51
Curriculum B	38	12	50
Total	71	30	101

Is it appropriate to use the z distribution to approximate the sampling distribution when constructing this confidence interval?

Answer : Yes, it is appropriate to use the z distribution

( since the samples are large enough , that is greater than 0 )

H 0 : μ 1 − μ 2 = 0

H a : μ 1 − μ 2 ≠ 0

You want to test these hypotheses using data that you collected from small samples:

Group	N	Mean	StDev	SE Mean
Group 1	15	14.546	3.245	0.838
Group 2	14	15.156	5.974	1.597

Which of the following procedures is appropriate?

Answer : Independent means t test