1) The binomial test is impractical for some questions about proportions because: a) It is imprecise b)...
Question:
1) The binomial test is impractical for some questions about proportions because:
a) It is imprecise
b) It is difficult to calculate for small sample sizes
c) It is difficult to calculate for large sample sizes
d) It is biased because many null distributions are non-normal
2) You wish to test whether people are more frequently killed by tigers during the dark compared to during the light of day. Your null hypothesis is: the probability of being killed by a tiger is equal during the light of day and the dark of night. Your alternative hypothesis should be:
a) The probability of being killed by a tiger is greater at night than during the day
b) The probability of being killed by a tiger is different during the light of day vs. the dark of night
c) The probability of being killed by a tiger is lower at night than during the day
d) The probability of being killed by a tiger is significant
3) Let's say, hypothetically, that the odds of getting ear hair when you're older, if you are over 1.75 metres tall, are 0.07, while the odds of getting ear hair when you're older if you're less than 1.75 metres tall are 0.065.What is the odds ratio for getting ear hair when you are older if you are over 1.75 metres tall, relative if you are shorter than that? (to three decimal places)
4) The use of the normal distribution to approximate the binomial distribution works because:
a) The Central Limit Theorem means that any distribution is normal
b) The Central Limit Theorem indicates that the sum of samples from a non-normal distribution are generally normal
c) The Central Limit Theorem indicates that the mean of samples from a non-normal distribution are generally normal
d) The Central Limit Theorem indicates that the median of samples from a non-normal distribution are generally normal
5) You are testing whether the length of a sample of 30 Sumatran rhino horns (front horn) differs from the theoretical mean length of 52 cm. You calculate your observed t-value (-2.03) and the criticalt-value at a significance level of 0.05 and 29 degrees of freedom (2.05). Is it true or false that you reject the null hypothesis?
6) You wish to test whether in families with one male and one female child (half with one birth order, half with the other), that the female is better at math by grade 5. Your null hypothesis will be:
a) That in two-child families with one male and one female child, the male will be better at math by grade five
b) That in two-child families with one male and one female child, the male and female will not differ in skill at math by grade five
c) That in two-child families with one male and one female child, the female will be better at math by grade five
d) That in two-child families with one male and one female child, the male or female will be better at math by grade five
7) You wish to test whether raccoons or porcupines (two north American mammals pictured here) have longer whiskers. You examine 60 animals for the two species. What assumptions do you make for the relevant statistical test?
a) The difference whisker length of raccoons and porcupines is normally distributed
b) The data are all collected in one forest
c) The two distributions of whisker length (one for raccoons, one for porcupines), are normally distributed
d) The number of porcupines and raccoons must be an equal 30