Question 1 .

A researcher studying guppies in a pond finds that 55% of all guppies in the population had red tails. In a new survey of the population, out of 1000 guppies surveyed, 520 had red tails. Another researcher claims that the percentage of guppies with red tails is now less than 55%.

What type of test is this?

a.two-tailed

b.red-tailed

c.right tailed

d.left-tailed

Question 2

A researcher studying guppies in a pond finds that 55% of all guppies in the population had red tails. In a new survey of the population, out of 1000 guppies surveyed, 520 had red tails. Another researcher claims that the percentage of guppies with red tails is now less than 55%.

Formulate appropriate null and alternative hypotheses that can be used to test the researcher's claim.

a.H_o: p = 0.55; H_a: p<0.55

b.H_o: p = 0.55; H_a: p0.55

c.No answers are correct

d.H_o: p = 0.55; H_a: p>0.55

Question 3.

A researcher studying guppies in a pond finds that 55% of all guppies in the population had red tails. In a new survey of the population, out of 1000 guppies surveyed, 520 had red tails. Another researcher claims that the percentage of guppies with red tails is now less than 55%.

Find the value of the test statistic

a.-0.55

b.0.45

c.0.52

d.-1.91

Question 4

A researcher studying guppies in a pond finds that 55% of all guppies in the population had red tails. In a new survey of the population, out of 1000 guppies surveyed, 520 had red tails. Another researcher claims that the percentage of guppies with red tails is now less than 55%.

Find the critical value(s) for this test.

a.1.96

b.-1.96

c.1.645

d.-1.645

Question 5

A researcher studying guppies in a pond finds that 55% of all guppies in the population had red tails. In a new survey of the population, out of 1000 guppies surveyed, 520 had red tails. Another researcher claims that the percentage of guppies with red tails is now less than 55%.

Given the value for the test statistic, as well as the critical values for this test for alpha =0.02 (calculated prior),What is your conclusionbased on this method?

a.Since the test statistic falls outside the critical region, we reject the null hypothesis

b.Since the test statistic falls in the critical region, we reject the null hypothesis

c.Since the test statistic falls in the critical region, we fail to reject the null hypothesis

d.Since the test statistic falls outside the critical region, we fail to reject the null hypothesis