As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking
| Waking Symptoms | ||
| Bedtime Symptoms | Yes | No |
| Yes | 36 | 32 |
| No | 33 | 18 |
(a) What percent of the students have lasting waking-life symptoms? (Round your answer to two decimal places.)
___%
(b) What percent of the students have both waking-life and bedtime symptoms? (Round your answer to two decimal places.)
___%
(c) Test whether there is an association between waking-life and bedtime symptoms. State the null and alternative hypotheses. (Use ? = 0.01.)
Null Hypothesis:
- H0: Bedtime symptoms cause waking symptoms.
- H0: Waking symptoms cause bedtime symptoms.
- H0: There is a relationship between waking and bedtime symptoms.
- H0: There is no relationship between waking and bedtime symptoms.
Alternative Hypothesis:
- Ha: Waking symptoms cause bedtime symptoms.
- Ha: Bedtime symptoms cause waking symptoms.
- Ha: There is no relationship between waking and bedtime
symptoms.
- Ha: There is a relationship between waking and bedtime
symptoms.
State the ?2 statistic and the P-value. (Round your answers for ?2 and the P-value to three decimal places.)
?2 =
df =
P =
Conclusion:
- We have enough evidence to conclude that there is a relationship.
- We do not have enough evidence to conclude that there is a relationship.
The statistical software output for this problem is:
Contingency table results:
Rows: Bedtime Symptoms
Columns: None
| Cell format |
|---|
| Count (Percent of total) |
| Yes | No | Total | |
| Yes | 36 (30.25%) |
32 (26.89%) |
68 (57.14%) |
| No | 33 (27.73%) |
18 (15.13%) |
51 (42.86%) |
| Total | 69 (57.98%) |
50 (42.02%) |
119 (100%) |
Chi-Square test:
| Statistic | DF | Value | P-value |
|---|---|---|---|
| Chi-square | 1 | 1.6556522 | 0.1982 |
Hence,
a) Percent of the students have lasting waking-life symptoms = 57.98%
b) Percent of the students have both waking-life and bedtime symptoms = 30.25%
c) H0: There is no relationship between waking and bedtime symptoms.
Ha: There is a relationship between waking and bedtime symptoms.
X2 = 1.66
df = 1
P = 0.198
Conclusion: We do not have enough evidence to conclude that there is a relationship.
As part of the study on ongoing fright symptoms due to exposure to horror movies at...
As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking life: Waking symptoms Bedtime symptoms Yes No Yes 36 33 No 34 16 (a) What percent of the students have lasting waking-life symptoms? (Round your answer to two decimal places.) % (b) What percent of the students have both waking-life and bedtime symptoms?...
As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking life: Waking symptoms Bedtime symptoms Yes No Yes 34 32 No 32 21 a) What percent of the students have lasting waking-life symptoms? (Round answer to two decimal places.) b) What percent of the students have both waking-life and bedtime symptoms?...
The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data is given in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence of an association between sex and character type for...
A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 6 4 7 10 2 3 6 7 9 10 3 2 Books 6 8 6 4 14 9 11 5 9 8 12 9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation...
A study was done to look at the relationship between the number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 2 2 2 2 7 10 2 2 9 7 6 1 Books 10 6 6 6 3 0 8 5 1 6 2 6 x value y value Find the correlation coefficient: r=r= Round to 2 decimal places. The null...
A recent national survey found that high school students watched an average (mean) of 6.5 movies per month with a population standard deviation of 0.6. The distribution of number of movies watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of movies watched last month was 5.8. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null...
A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.5. The distribution of number of movies watched per month follows the normal distribution. A random sample of 41 college students revealed that the mean number of movies watched last month was 7.0. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null...
A recent national survey found that high school students watched an average (mean) of 7.1 movies per month with a population standard deviation of 1.0. The distribution of number of movies watched per month follows the normal distribution. A random sample of 41 college students revealed that the mean number of movies watched last month was 6.6. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null...
A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population standard deviation of 0.5. The distribution of number of movies watched per month follows the normal distribution. A random sample of 30 college students revealed that the mean number of movies watched last month was 7.3. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null...
Consider the data. xi 2 6 9 13 20 yi 9 18 8 25 21 a. What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 = 0 Ha: β1 ≠ 0 H0: β0 ≠ 0 Ha: β0 = 0 H0: β1 ≠ 0 Ha: β1 = 0 H0:...