Question

Hypothesis Testing - Setup: The American Mathematical Association claims that less than 40% of all Americans like statistics. In a random sample of 80 Americans, 37% of them liked mathematics. Suppose you were to test the claim of the American Mathematical Society.

(a) What is the claim? p < 0.40

p > 0.40

p = 0.40

p < 40

(b) What does p represent?

the mean number of Americans who like statistics

the proportion of all people in the sample who like statistics

the proportion of all Americans who like statistics

(c) What is the null hypothesis?

p < 0.40

p > 0.40

p = 0.40

p = 0.37

(d) What is the alternate hypothesis?

p < 0.40

p > 0.40

p ≠ 0.40

p < 40

(e) What type of test is this?

left-tailed

right-tailed

two-tailed

Answer 1

solution"

a.this is left tail test

p < 40

b.

the proportion of all people in the sample who like statistics

c.

null hypothesis .

H₀ : p =0.40

d.

H_a : p <0.40

e.

left tail