Question

We want to test whether or not more students are absent on Friday afternoon classes than...

We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 302 students with Friday afternoon classes, 48 missed the class. In a different random sample of 307 students with Wednesday afternoon classes, 32 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software.

Data Summary

total number total number Proportion
Day of absences (x) of students (n) = (x/n)
Friday 48   302 0.15894
Wednesday 32 307 0.10423

SE = 0.02738

The Test: Test the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. Use a 0.05 significance level.

(a) Letting 1 be the absentee rate from the sample on Friday and 2 be the rate from Wednesday, calculate the test statistic using software or the formulaz =

(12) − δp
SE

where δp is the hypothesized difference in proportions from the null hypothesis and the standard error (SE) given with the data. Round your answer to 2 decimal places.
z =
To account for hand calculations -vs- software, your answer must be within 0.01 of the true answer.

(b) Use software or the z-table to get the P-value of the test statistic. Round to 4 decimal places.
P-value =

(c) What is the conclusion regarding the null hypothesis?

reject H0

fail to reject H0    


(d) Choose the appropriate concluding statement.

The data supports the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes.

There is not enough data to support the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes.    

We have proven that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes.

We reject the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a)

Test statistic
z = (p1cap - p2cap)/sqrt(pcap * (1-pcap) * (1/N1 + 1/N2))
z = (0.1589-0.1042)/sqrt(0.131*(1-0.131)*(1/302 + 1/307))
z = 2.00


b)

P-value = 0.0228

c)

reject H0

d)

We reject the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes.

Add a comment
Know the answer?
Add Answer to:
We want to test whether or not more students are absent on Friday afternoon classes than...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • We want to test whether or not more students are absent on Friday afternoon classes than...

    We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 300 students with Friday afternoon classes, 61 missed the class. In a different random sample of 300 students with Wednesday afternoon classes, 22 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software. Class Day total # of absences (xx)...

  • (2 points) We want to test whether or not more students are absent on Friday afternoon...

    (2 points) We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 300 students with Friday afternoon classes, 62 missed the class. In a different random sample of 300 students with Wednesday afternoon classes, 20 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software. Class Day Friday total #...

  • California had stricter gun laws than Texas. However, California had a greater proportion of gun murders...

    California had stricter gun laws than Texas. However, California had a greater proportion of gun murders than Texas. Here we test whether or not the proportion was significantly greater in California. A significant difference is one that is unlikely to be a result of random variation. The table summarizes the data for each state. The p̂'s are actually population proportions but you should treat them as sample proportions. The standard error (SE) is given to save calculation time if you...

  • Gun Murders - Texas vs New York - Significance Test In 2011, New York had much...

    Gun Murders - Texas vs New York - Significance Test In 2011, New York had much stricter gun laws than Texas. For that year, the proportion of gun murders in Texas was greater than in New York. Here we test whether or not the proportion was significantly greater in Texas. The table below gives relevant information. Here, the p̂'s are population proportions but you should treat them as sample proportions. The standard error (SE) is given to save calculation time...

  • Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had...

    Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, suppose 165 out of 813 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, suppose 294 out of 1834 young adults had to move back in with their parents. The table below summarizes this information. The standard...

  • Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had...

    Boomerang Generation: The Boomerang Generation refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, suppose 155 out of 813 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, suppose 288 out of 1824 young adults had to move back in with their parents. The table below summarizes this information. The standard...

  • Employers want to know which days of the week employees are absent in a five-day work...

    Employers want to know which days of the week employees are absent in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 70 managers were asked on which day of the week they had the highest number of employee absences. The results were distributed as in Table. For the population of employees, do the days for the highest number of absences occur with equal frequencies during...

  • Do female college students spend more time than male college students watching TV? This was one...

    Do female college students spend more time than male college students watching TV? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a three-week period. For the sample of males, the mean time spent watching...

  • AM -vs- PM Height: We want to test the claim that people are taller in the morning than in the evening. Morning height a...

    AM -vs- PM Height: We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 30 randomly selected adults and the difference (morning height) − (evening height) for each adult was recorded. The mean difference was 0.21 cm with a standard deviation of 0.39 cm. Use this information to test the claim that on average people are taller in the morning than in the evening. Test...

  • AM -vs- PM Height: We want to test the claim that people are taller in the morning than in the evening. Morning height a...

    AM -vs- PM Height: We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 32 randomly selected adults and the difference (morning height) − (evening height) for each adult was recorded. The mean difference was 0.21 cm with a standard deviation of 0.40 cm. Use this information to test the claim that on average people are taller in the morning than in the evening. Test...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT