Question

QUESTION 1

The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is

A		H0:  p ≥ 0.30     Ha:  p < 0.30
B		H0:  p ≤ 0.30     Ha:  p > 0.30
C		H0:  p > 0.30     Ha:  p ≤ 0.30
D		H0:  p < 0.30     Ha:  p ≥ 0.30

QUESTION 2

Assume we are interested in determining whether the proportion of voters planning to vote for candidate C (p_C) is significantly less than the proportion of voters planning to vote for candidate B (p_B). The correct null hypothesis for testing the above is

A		Ho:  pC − pB ≤ 0
B		Ho:  pC − pB < 0
C		Ho:  pC − pB ≥ 0
D		Ho:  pC − pB 0

QUESTION 3

The sampling distribution of p₁-p₂  is approximated by a

A		normal distribution
B		t distribution with n1 + n2 degrees of freedom
C		t distribution with n1 + n2 – 1 degrees of freedom
D		t distribution with n1 + n2 + 2 degrees of freedom

QUESTION 4

A p-value is the

	A	probability of a Type II error
	B	value of the test statistic
	C	probability corresponding to the critical value(s) in a hypothesis test.
	D	probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed

QUESTION 5

If the p-value is less than α,

	A	Not enough information is given to answer this question.
	B	the null hypothesis is rejected
	C	the alternative hypothesis is rejected
	D	the null hypothesis will sometimes be rejected and sometimes not be rejected depending on the sample size

Answer 1

The school's newspaper reported that the proportion of students majoring in business is at least 30%. You plan on taking a sample to test the newspaper's claim. The correct set of hypotheses is

Since the claim includes at least we will use the

A) H₀:  p ≥ 0.30     H_a:  p < 0.30

Assume we are interested in determining whether the proportion of voters planning to vote for candidate C (p_C) is significantly less than the proportion of voters planning to vote for candidate B (p_B). The correct null hypothesis for testing the above is

Since the claim includes less than we will use the

A) Ho:  p_C − p_B ≤ 0

The sampling distribution of p₁-p₂  is approximated by a

The test for difference in proportion is approximated by Z or normal distribution

A) normal distribution

A p-value is the

As p value is the probability of occurance of sample event under null hypothesis

D) probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed

If the p-value is less than α,

We reject the null hypothesis if p < α

B) the null hypothesis is rejected