An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased.
H0: p ≤ 0.115
Ha: p > 0.115
H0: p < 0.115
Ha: p ≥ 0.115
H0: p > 0.115
Ha: p ≤ 0.115
H0: p ≥ 0.115
Ha: p < 0.115
H0: p = 0.115
Ha: p ≠ 0.115
(b) If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test?
1. Find the value of the test statistic. (Round your answer to two decimal places.)
2. Find the p-value. (Round your answer to four decimal places.)
3. p-value =
(c) At α = 0.05,
what is your conclusion?
1. Reject H0. There is insufficient evidence to conclude that there has been an increase in union membership.
2. Do not reject H0. There is sufficient evidence to conclude that there has been an increase in union membership.
3. Reject H0. There is sufficient evidence to conclude that there has been an increase in union membership.
4. Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union membership.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: i don't understand it

step-by-step explanation: sorry

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a