Question

Question 5: For the following questions, state the null hypothesis and alternative hypothesis, and
choose the correct statistical test from the following list.

(a) One sample test for population mean
(b) One sample test for population proportion
(c) Two-independent-sample t-test
(d) Paired-sample t-test.

(1) You want to support the claim that male bass singers are taller than male tenor singers. Let 1 be mean
height of male bass singers and 2 be mean height of male tenor singers.

(2) You want to reject the claim that no more than 10% of students will suer nancial hardship if tuition
increased.

Answer 1

1) mean height of male bass singers = 1

mean height of male tensor singers = 2

the null and alternative hypothesis are

H0 = the height of male bass singers and male tenor singers are same

H1= the height of male bass signers are taller than male tenor singers

Here we use two independent sample t test

the two groups are independent, so we use this test procedure.

2) p is the proportion of students will suer nancial hardshp

the null and alternative hypothesis are

H0 = p =0.10

H1 = p < 0.10

Here we use one sample test for population proportion