Statistics 2023Test

Prof. Muniz

STA 2023 Elementary Statistics. Test #4 (A)

Name: ________________________________________________________________

Multiple Choice Questions (5 points each)

1.. Determine whether the hypothesis test for a claim: At most 14% of all homeowners have a home security alarm is: A) A left tailed test B) A right tailed test C) A tow-tailed test

2. Find the critical value for a two tail test, with α = 0.01 and n=14

A) 2.650 B) 2.997 C) 2.821 D) 3.012

3. If the claim is 645 , the hypotheses to test are:

A) 645:

645: 0









A H

H B)

645:

645: 0









A H

H C)

645:

645: 0









A H

H D)

645:

645: 0



=





A H

H

4. For a two tailed test for the population mean µ, with a test statistic 𝑧 = 3.19, and a level of significance of 5%, do you have to:

A) Reject 𝐻𝑜 B) Fail to Reject 𝐻𝑜

5. Suppose the you have a left tailed test with a critical value CV = -2.162, 𝑛 = 14. The following value of the test statistics TS: 𝑡 = −1.286

A) is not a possible value for a test statistic TS because it must be a Z value B) is in the Acceptance region, and you will need to Fail to Reject H0 C) allows you to Reject H0 because it is in the Rejection Region D) None of the above is true.

6. (10 points) A Beautiful Bride magazine believes that the population average age of a groom is now 26.2 years. A sample of 16 prospective grooms in Chicago revealed that their average age

was 26.6 years with a standard deviation of 5.3 years. At , what is the test statistic value

for this test?

A) 2.132 B) 1.810 C) 0.301 D) 0.594

(Show your work)

7

Using the normal table, determine the critical value for the left-tailed test with .

A) 1.81 B) - 0.39 C) -1.81 D) - 2.05

8. A survey of 500 non-fatal accidents showed that 382 involved the use of cell phone. Find a point

estimate for p , the population proportion of accidents that involved the use of the cell phone.

A) 0.191 B) 0.236 C) 0.309 D) 0.764

9. (10 points) In testing a claim about the population mean µ at a 2 % level of significance.: µ = 20, with a sample size is 46, and the test statistics is -1.56, which of the following

conclusions is true:

A) Reject H0, because the test statistic is less than α. B) Fail to Reject H0, because the test statistic is in the Acceptance Region. C) Reject H0, because the test statistic is in the Rejection Region. D) None of the above is true.

(Show your work)

10. For a right tailed test for the population mean µ, with a test statistic 𝑧 = 1.23, 𝑛 = 79 and a level of significance of 10%, do you have to:

A) Reject 𝐻𝑜 B) Fail to Reject 𝐻𝑜

 = 0 05.

 = 0 035.

11. Find the critical values for a two tailed test, with α = 0.08 and n=500

A) ± 1.41 B) 1.74 C) ± 1.75 D) Can’t be determined

(SHOW ALL YOUR WORK)

12. (35 Points) Examining data collected on 835 males, researcher found that 401 of the male were raised in a single-parent family. Does the information allow you to conclude more than 45% of

male are raised in a single family? Test at 6% level of significance.

1. H0 :

HA :

2. Test Statistics:

3. Rejection region:

4. Conclusion