Question

For each claim below, do three things: first, write the expressions the claim leads to; then state the null and alternate hypotheses for testing the claim using the notation H 0 and H 1; and finally state whether it is a left-tailed, right-tailed, or two-tailed problem.

(i) The proportion of frogs in a certain pond that are infected with a deadly virus is 75%.

(ii) The proportion of frogs in a certain pond that are infected with a deadly virus is less than 60%.

(iii) The proportion of frogs in a certain pond that are infected with a deadly virus is at least 80%.

(iv) The proportion of frogs in a certain pond that are infected with a deadly virus is more than 50%.

Answer 1

Solution:

1)

This is a two tailed test.

The null and alternative hypothesis is,

Ho: p = 0.75

Ha: p 0.75

2)

This a left (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.60

Ha: p < 0.60

3)

This a left (One) tailed test.

The null and alternative hypothesis is,

Ho: p 0.80

Ha: p 0.80

4).

This a right (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.50

Ha: p 0.50