Question

Question 10 (1 point)

EU (European Union) countries report that 46% of their labour force is female. Statistics Canada wants to determine if the percentage of women in the Canadian labour force is the same.

Statistics Canada selects a random sample of 525 employment records, and find that 229 of the people are women. They want to test the null hypothesis that the Canadian labour force has the same proportion of women as in the EU against the alternative that it is not the same. What would be the appropriate test to run?

Question 10 options:

	a one-sample two-tailed t-test
	a one-sample two-tailed z-test
	a two-sample one-tailed t-test
	a two-sample one-tailed z-test

Question 11 (1 point)

EU (European Union) countries report that 46% of their labour force is female. Statistics Canada wants to determine if the percentage of women in the Canadian labour force is the same.

Statistics Canada selects a random sample of 525 employment records, and find that 229 of the people are women. They want to test (at the 5% significance level) the null hypothesis that the Canadian labour force has the same proportion of women as in the EU against the alternative that it is less than that in the EU. What formula would you use to calculate the test statistic?

Question 11 options:

	z = (0.436-0.46)/sqrt(0.46*0.54/525)
	z = (0.436-0.46)/sqrt(0.436*0.564/525)
	z = (0.46-0.436)/sqrt(525)
	z = 0.46 + 1.96*(0.46*0.54/525)

Question 12 (1 point)

EU (European Union) countries report that 46% of their labour force is female. Statistics Canada wants to determine if the percentage of women in the Canadian labour force is the same.

Statistics Canada selects a random sample of 525 employment records, and find that 229 of the people are women. They want to test (at the 5% significance level) the null hypothesis that the Canadian labour force has the same proportion of women as in the EU against the alternative that it is less than that in the EU. What is the p-value associated with this hypothesis test?

Question 12 options:

	-1.1
	1.1
	0.136
	0.272

Question 13 (1 point)

EU (European Union) countries report that 46% of their labour force is female. Statistics Canada wants to determine if the percentage of women in the Canadian labour force is the same.

Statistics Canada selects a random sample of 525 employment records, and find that 229 of the people are women. They want to test (at the 5% significance level) the null hypothesis that the Canadian labour force has the same proportion of women as in the EU against the alternative that it is less than that in the EU. What conclusion would you draw, based on your calculations?

Question 13 options:

	Reject the null hypothesis: the proportion of women is lower in Canada
	Reject the null hypothesis: the proportion of women is different in Canada
	Accept the null hypothesis: the proportion of women is the same in Canada and the EU
	Do not reject the null hypothesis: there is no evidence of a statistically significant difference in the proportion of women

Answer 1

10.
option:B
a one-sample two-tailed z-test
test the null hypothesis that the Canadian labour force has the same proportion of women as in the EU
against the alternative that it is not the same.
11.
Given that,
possible chances (x)=229
sample size(n)=525
success rate ( p )= x/n = 0.436
success probability,( po )=0.46
failure probability,( qo) = 0.54
null, Ho:p=0.46
alternate, H1: p<0.46
level of significance, α = 0.05
from standard normal table,left tailed z α/2 =1.645
since our test is left-tailed
reject Ho, if zo < -1.645
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.43619-0.46/(sqrt(0.2484)/525)
zo =-1.095
| zo | =1.095
critical value
the value of |z α| at los 0.05% is 1.645
we got |zo| =1.095 & | z α | =1.645
make decision
hence value of |zo | < | z α | and here we do not reject Ho
p-value: left tail - Ha : ( p < -1.0946 ) = 0.13685
hence value of p0.05 < 0.13685,here we do not reject Ho
ANSWERS
---------------
null, Ho:p=0.46
alternate, H1: p<0.46
11.
test statistic: -1.095
critical value: -1.645
decision: do not reject Ho
12.
p-value: 0.13685 =0.136
option:C
13.
we do not have enough evidence to support the claim that Canadian labour force has the same proportion of women as in the EU against the alternative
that it is less than that in the EU.