question archive I just understand the concept and have spend too much time, still no luck

I just understand the concept and have spend too much time, still no luck

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I just understand the concept and have spend too much time, still no luck. One hypothesis I have is this: My claim here is that the efficiency of my work increases if I stop using social media for 30days. By efficiency here I mean the proportion of tasks I have completed in 30 days. I don't know how to go from there.

 

Develop a null and an alternative hypothesis for a decision that is relevant to your life. This decision can be personal or professional. Share your null and alternative hypotheses with your peers in this week's discussion. Be sure to include the following in your post. Define/discuss:

1)All variables (include numerical values for your variables);

2)The appropriate test statistic, and if it is a one- or two-tailed test;

3)Your selection process;

4)The Type I and Type II errors that could occur with your decision?making process;

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a)

Variable = Number of tasks your are suppose to do in a month

Number of tasks  you actually completed in a month

Social media usage time. ( if you totally abstain , time = 0)

b) Type of test

Z-test for population proportion, one tail  test.

  • Your selection process;

Abstain from social media usage. Keep other factors and your normal activities constant in order to measure your main variable of intertest without interference. 

 Hypothesis

H0 : p' = 0.8

H1 :  p' > 0.8

 

Type I Error ; ( rejecting a true null hypothesis)

: Concluding that reducing social media usage increases  the efficiency the  while it is true that it does not change.

 

 Type II Error( Failing to reject a falls null hypothesis)

: Concluding that social media usage does not change efficiency while in true sense it is actually decreasing. 

 

Z test for proportion will determine whether there is significant difference in the two proportions. If the results is significant, thus there will be enough evidence to reject the null hypothesis and conclude that  decreasing social media usage increase efficiency.

Step-by-step explanation

According to your claim, you suspect that avoiding social media will improve your efficiency in completing your tasks.  From your past experience without altering the use of social media, you can estimate your efficiency to be 80% or a proportion of 0.8( You complete 80% of the tasks you had to do in a month).  Now you want to test whether abandoning social media usage increases your efficiency to a value greater than 0.8, say, 0.88. Thus you need to adjust your null and alternative hypothesis as;

  Null Hypothesis: p = 0.8

Alternative Hypothesis: p>0.8

This is a one tail test, right tail test. 

You need ( or you can assume ) to collect the data on your efficiency of the month ( or you can use a week from the begenign for convenience) that you did not use social media.  The proportion of the tasks you complete = number of tasks you completed/ number of tasks you were supposed to complete. 

For example, you found that without using social media, your efficiency is 88. You need to test if 88 if significantly higher than your average efficiency, 80. If there is statistically significant difference, then you can conclude that abandoning social media usage increase your efficiency.