B. A. SECOND SEMESTER EXAMINATIONS: 2022/2023 SOCI 326: QUANTITATIVE METHODS IN SOCIAL RESEARCH (3 Credits)

INSTRUCTIONS: ANSWER ALL QUESTIONS IN SECTION A, ONE (1) QUESTION IN SECTION B AND ONE (1) IN SECTION C (60 MARKS) TIME ALLOWED: TWO AND A HALF (2/1/2 ) HOURS SECTION A (ANSWER ALL QUESTIONS):

## Fill in the Blanks with the correct answers on the question paper

- statistics are used to describe or summarize data; statistics are ————used to make inferences about a population.
- A researcher collects data on the number of absences each worker has had over the past year. He/she has the exact number of days absent from work. That data would be an example of a variable (absences) measured at the level of————- measurement.
- A recent Ghana Living Standards Survey asked, “How many days in the past 7 days have you felt happy?”. The 250 women who responded had a median of 3, mean of 3.001, mode of 3.002 and standard deviation of 1.

The 350 men who responded had a median of 2, mean of 2.85, and standard deviation of————- - a. Explain whether the data for the men is normally distributed.

b. Explain whether the data for the women is normally distributed. - Indicate whether the following statements from (a)-(c), is a null hypothesis, or an alternative hypothesis? a. In Osu, the proportion of adults who favour legalized gambling equals 0.50.

b. The proportion of all tertiary students who are regular smokers now is less than 0.58 (the value it was ten years ago). *_*

c. The mean BECE score of all final year students at “ABC Junior High School” is larger than 270. *_*

- A final year student collects data on the political party affiliation of Ghanaians at a local community meeting. The data on party affiliation (NDC, NPP, CPP, PNC, or Other) is said to be measured at the level of measurement.
- Kwamina is studying whether or not men and women differ in their attitudes toward abortion. The variables the researcher is studying are and
. (Provide names for the variables.)*__* - In the world of inferential statistics, sample
*are used to make inferences about population*_ - As a researcher, you are trying to determine if there is a difference between the performance of Sociology majors and Information Studies majors on a current Quantitative test methods.

The variables the researcher is studying are and . (Provide names for the variables.)

- A researcher wants to make some statements about the 23,419 students at a large university and collects infonnation from 500 students. The sample has members, and the population has members.
- A statistic is a characteristic of a
; a parameter is a characteristic of a—–*_* - Participants in a research study have been classified as lower, middle, or upper class in terms of their socioeconomic status. We can say that the variable of social class has been measured at the level of measurement.
- The level of measurement based upon mere categories–categories that are mutually exclusive and collectively exhaustive-is referred to as the level of measurement.
- The level of measurement that has all the properties of the nominal level of measurement, plus the notion of order is referred to as the level of measurement.
- A prediction about the population parameter is a (an)

15.For each of the following find the T critical value

Alpha | Form | N | T Critical |

0.05 | Left-tailed | 70 | |

0.10 | Two-tailed | 50 | |

0.06 | Two-tailed | 80 | |

0.01 | Two-tailed | 90 | |

0.02 | Right tailed | 60 |

**SECTION B ANSWER ONE QUESTION**

16.The Kumasi Mayor has received a complaint from the local union of Electricity Company of Ghana (ECG) to the effect that they were underpaid. Not having much time, the mayor gathers the records of a random sample of 170 ECG staff and finds that their annual average salary is GHc 9,073, with a standard deviation of GHc75. If he knows that the annual average salary nationally is GHc9,202. What would he say in a memo to ECG that would respond to the complaint (use alpha = 0.05)?

17.Nationally, the average score on the mature students’ university entrance exams (math test) is 255 marks, with a standard deviation of 70. A random sample of 220 freshmen entering University of Ghana as mature students shows a mean score of 354. Is there a significant difference (use alpha = 0.05)?

**SECTION C : ANSWER ONE QUESTION**

18.In a sample of 220 level 100 students at a private university, 77 reports that they work at least 20 hours a week while in school. Estimate the proportion of all level 100 students at the university working at least 20 hours per week. Develop your estimate based on a 95% confidence interval (use alpha = 0.05).

19.Of a sample of 190 registered voters, 320/0 report that they intend to vote in the upcoming district assembly elections. Using a 950/0 confidence interval, estimate the percentage of all registered voters planning to vote (use alpha = 0.05).

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