All categories

3 years ago

Which of the following is a Type I error?

1 answer:

3 0

Answer:

C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.398, when, in fact, the proportion is 0.398.

Step-by-step explanation:

A type I error occurs if you reject the null hypothesis when it is true.

Now the hypotheses are:

$H_0:$ The proportion is 0.398

$H_1:$ The proportion is less than 0.398

If in actual fact the proportion is 0.398, then the president must not reject the $H_0$ .

This is a correct decision.

If in actual fact the proportion is 0.398, and the president rejects the $H_0$ , then a type I error is committed.

The correct choice is C.

You might be interested in

(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health

Paul [167]

Answer:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

$\bar X=113.7$ represent the sample mean

$\mu$ population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=29-1=28$

The Confidence is 0.96 or 96%, the significance is $\alpha=0.04$ and $\alpha/2 =0.02$ , and the critical value would be $t_{\alpha/2}=2.154$

Replacing the info we got:

$113.7-2.154\frac{9.1}{\sqrt{29}}=110.06$

$113.7+2.154\frac{9.1}{\sqrt{29}}=117.34$

And the 96% confidence is given by (110.06; 117.34)

5 0

3 years ago

Simplify 7p +20-13q-4q-18+6p a 13p + 17q-2 b 13p-17q+2 c3q+38 d 3q-6

AleksAgata [21]

The answer is most likely B

3 0

2 years ago

Read 2 more answers

List four fractions that are equivalent to 3/5

kirill115 [55]

6/10, 9/15,12/20,15/25

Those are all equal to 3/5.

Hope this helps and hope you have a great day

8 0

3 years ago

Read 2 more answers

How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable

Vlada [557]

In this case, all letters are unique.

Start by holding the first letter:
E - XAM
E - XMA
E - MAX
E - MXA
E - AXM
E - AMX
So there are 6 combinations here.

Repeat for all 4 letters.

6 x 4 = 24

This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
For 5 unique characters, it is 5x4x3x2x1
And so on...

6 0

2 years ago

What is 1/2 + 4/3 + 3/2 + 4/3 + 10/6 = ?? (they are fractions)

Jet001 [13]

6 and 1/3 or 19/3 or if you need the decimal 6.3 repeating

4 0

2 years ago

Read 2 more answers

Which of the following is a Type I​ error?

Which of the following is a Type I error?