Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis
Ha: p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>
the correct answer is - 1/2
Total revenue the previous year would be $46,355
<h2>
Answer: Lines b & c are parallel.⇄</h2>
Step-by-step explanation:
- When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
- When lines are parallel, they have the same slope.
Slope = ( y₂ - y₁) / (x₂ - x₁)
Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )
= 5 ÷ (- 8)
= - ⁵/₈
Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )
= - ⁵/₈
⇒ Line b ║ Line c