A Comparative Analysis of TV Viewing Habits: American vs British Children

A survey was conducted by randomly selecting 20 American children and 20 British children to determine if there is a statistical difference in amount of time they watch TV. Use data = Assignment 4 two sample ttest.sav

Based on this example answer the following questions:

  1. Why is a two samples t test most appropriate technique for this research example?
  2. State (in words) the null and the alternate hypothesis.
  3. Use the data set provided and conduct a two samples t test using SPSS. Use the SPSS command/actions listed below to conduct the analysis:
    Hint: Once you are in the Independent-Samples t Test dialog box in SPSS, you will have to Define your groups.
  4. Click on Define Groups
  5. In the area next to Group 1: type 1, and in the next to Group 2: type 2
  6. Click on Continue
  7. Click on OK
  8. What is the mean number of minutes of TV watched by the British children?
  9. What is the mean number of minutes of TV watched by the American children?
  10. In the Equal Variances Assumed row, what is the t statistic?
  11. What is the p value or significance?
  12. Discuss the findings in regard to the null and alternate hypothesis using Morgan et al. (2002) pp. 10-12.
  13. Why might these results be inaccurate due to the technique of Random Sampling (see Creswell, 2008)?
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Sample Answer

 

A Comparative Analysis of TV Viewing Habits: American vs British Children

Introduction

Understanding the differences in TV viewing habits between American and British children is crucial to gain insights into media consumption patterns across different cultures. In this essay, we will conduct a two-sample t-test to analyze whether there is a statistical difference in the amount of time American and British children spend watching TV.

1. Two Sample t-test: The Most Appropriate Technique

A two-sample t-test is the most appropriate technique for this research example because we have two independent samples (20 American children and 20 British children) and want to compare the means of the two groups. This test allows us to determine if there is a significant difference between the average TV viewing time of American children and British children.

2. Null and Alternate Hypotheses

The null hypothesis (H0) states that there is no significant difference between the mean TV viewing time of American children and British children.

The alternate hypothesis (H1) states that there is a significant difference between the mean TV viewing time of American children and British children.

3. Conducting a Two Sample t-test Using SPSS

To conduct a two-sample t-test using SPSS, we will utilize the provided data set, “Assignment 4 two sample ttest.sav”. In the Independent-Samples t Test dialog box, we will define our groups by assigning Group 1 to American children and Group 2 to British children.

Mean Number of Minutes of TV Watched by British Children

The mean number of minutes of TV watched by British children can be calculated using the provided data set.

Mean Number of Minutes of TV Watched by American Children

The mean number of minutes of TV watched by American children can also be calculated using the provided data set.

t Statistic (Equal Variances Assumed)

In the Equal Variances Assumed row, the t statistic represents the difference between the means of the two groups, taking into account the variability within each group. We will calculate the t statistic using SPSS.

p-value or Significance

The p-value represents the probability of obtaining a result as extreme as the observed outcome, assuming that the null hypothesis is true. We will calculate the p-value using SPSS.

Findings and Interpretation

Based on Morgan et al. (2002), if the p-value is less than or equal to the predetermined significance level (e.g., 0.05), we reject the null hypothesis and conclude that there is a significant difference between the mean TV viewing time of American children and British children.

Conversely, if the p-value is greater than the predetermined significance level, we fail to reject the null hypothesis, indicating that there is no significant difference between the mean TV viewing time of American children and British children.

We will interpret these findings to draw conclusions about whether there is a statistical difference in TV viewing habits between American and British children.

Inaccuracy Due to Random Sampling Technique

According to Creswell (2008), random sampling is a technique used to select participants from a larger population to ensure representativeness and reduce bias. However, there are potential sources of inaccuracy associated with random sampling.

One potential limitation is sample size. In this study, we have a relatively small sample size of 20 American children and 20 British children. A larger sample size would increase the generalizability of our findings and reduce the margin of error.

Additionally, random sampling assumes that each participant has an equal chance of being selected, but this may not always be the case due to various factors such as non-response bias or limited accessibility to certain groups.

Therefore, while random sampling is a valuable technique to gather data, it is essential to acknowledge its limitations and consider them when interpreting the results.

In conclusion, conducting a two-sample t-test will provide valuable insights into whether there is a statistical difference in TV viewing habits between American and British children. The findings will contribute to our understanding of cultural differences in media consumption and inform future research on promoting healthy media habits among children worldwide.

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