Question

Please answer True or False for the following statements:

1.) The question "do more than 40% of bird owners own cats" leads to a two-tailed test?

2.) The graph of the normal distribution is perfectly symmetrical, or a mirror image about the mean.

3.) In hypothesis testing, the alternative or motivated hypothesis is assumed to be true.

4.) Type 1 error is the error we make in failing to reject the null hypothesis.

5.) For a normal curve, about 95% of the distribution lies between mu - 2sigma and mu + 2sigma.

Answer 1

(1) False, "do more than 40% of bird owners own cats" is a right tailed hypothesis test because of "more" symbol. So, it is not a two tailed

(2) True because we know that the graph of normal distribution is symmetrical and have same mirror image on both sides of the mean.

(3) False, we assume that the null hypothesis is true and we test the hypothesis to check if the null hypothesis can be rejected or not. So, it is false

(4) False, we know that type I error is the rejection of a true null hypothesis. So, it is not related to the failure to reject the null hypothesis

(5) True, using the empirical rule, we know that 95% of the data values fall within 2 standard deviations from the mean. So, given statement is true