Question

An article reports that blue eyed people earn less than brown eyed people, with these numbers: average blue-eyed salary $35,000, average brown-eyed salary $37,000, p-value 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?

a. The results are nowhere near to being statistically significant.
b. The results are almost but not quite statistically significant.
c.The results are just barely statistically significant.
d.The results are strongly statistically significant.

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

a.19
b.90
c.100
d.10! (10 factorial)

Answer 1

Answer:

a.

Step-by-step explanation:

A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis, and accept the alternative hypothesis.

Answer 2

• Question 1: a. The results are nowhere near to being statistically significant.
• Question 2: b.90

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First question:

The first question involves the test of an hypothesis.

Tests have significance levels, which normally are either 0.01, 0.05 or 0.1. If the p-value is less than the significance level, the results are significant, while if they are more, the results are not significant.

In this question, the p-value is 0.45, which is considerably more than any significance level, meaning that the results are nowhere near to being statistically significant, and the correct option is:

a. The results are nowhere near to being statistically significant.

A similar problem can be found at https://brainly.com/question/22968227

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Second question:

The order in which the people are chosen is important, as the first and second person chosen have different roles, and thus, the permutations formula is used.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem, there are 2 people from a set of 10, so:

$P_{10,2} = \frac{10!}{8!} = 10\times9 = 90$

90 possible combinations, option b.

A similar problem can be found at https://brainly.com/question/24245547