(1 point) In the study of red/green color blindness, 750 men and 2750 women are randomly selected and tested. Among the men, 64 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(a) State the null hypothesis:
(b) State the alternative hypothesis:
(c) The test statistic is
(d) Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 1% significance level.
A. Yes
B. No
(e) Construct the 99% confidence interval for the difference between the color blindness rates of men and women.
(1 point) In the study of red/green color blindness, 750 men and 2750 women are randomly selected and tested. Among the men, 64 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(a) State the null hypothesis:
(b) State the alternative hypothesis:
(c) The test statistic is
(d) Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 1% significance level.
A. Yes
B. No
(e) Construct the 99% confidence interval for the difference between the color blindness rates of men and women.
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(1 point) Among drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below.
If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages.
| Age | Under 25 | 25-44 | 45-64 | Over 64 |
| Drivers | 42 | 25 | 15 | 28 |
The test statistic is
The critical value is
The conclusion is
◯ A. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.
◯ B. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.