One criticism of reading comprehension tests is that while they may measure reading comprehension, they also measure other factors not related to reading comprehension. A reading comprehension (RC) test on a major college entrance exam provides short English prose passages, and the examinees answer a set of multiple-choice items about the passage. To see if particular items measure something other than RC, investigators gave the RC test without the reading passages to a random sample of psychology students. The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).
Suppose that on one question, 30 out of 100 examinees answered the question correctly. Is this sufficient evidence that students are using more than just reading comprehension to answer this question? Test the relevant hypothesis using alpha = .05

Answer:

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Step-by-step explanation:

The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).

This means that at the null hypothesis, we test that the proportion is the probability of answering correctly by change, that is 20%. So

[tex]H_0: p = 0.2[/tex]

At the alternate hypothesis, we test that the proportion is above 20%, that is:

[tex]H_a: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Suppose that on one question, 30 out of 100 examinees answered the question correctly.

This means that [tex]n = 100, X = \frac{30}{100} = 0.3[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.3 - 0.2}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = 2.5[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3, which is 1 subtracted by the p-value of z = 2.5.

Looking at the z-table, z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

plwaseeee helppp!! plelalslsllslslz

Khan Question :) will make brainliest <3

The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer

Which of the following shows the solution to m + 5 > -1?

if sin= 3/4 what are the values of cos 0 and tan 0

Help plz:)))I’ll mark u Brainliest

A rectangle with a length of 5cm and width of 2cm is cut diagonally. What is the area of one of the triangles formed?

PLEASE LEAVE STEPS!

PLEASE HELP PLEASE!!
Find the limit of the function algebraically. (2 points) alt='limit as x approaches zero of quantity negative seven plus x divided by x squared.'

The amount of rain last month? Numerical or categorical data?

what is the estamate 1/4 of 16

sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?

MUST SHOW WORK

8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.

Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

calculate the distance between the points J = ( -7, 6) and F = ( -1, 1 ) in coordinate plane

4(-1)+2
ItS HARD HELP

5.3 in.
8 in.
4 in.
8 in.

Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike

solve: y-6/-5 = -2/y-9

4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?

Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?

A: $240.31
B: $245.83
C: $230.12
D: $229.81

Robyn can rent an unfurnished apartment for $850 per month. The landlord requires first and last months' rent, plus a security deposit of $350. How much will Robyn have to pay before she can rent this apartment?

Find the height of the flagpole to the nearest meter.
40
33
20
27

Solve using square roots: (x-6)^2=144

Given that Segment BE is 5 units, find the indicated measures for angle 1, 2, and segment AC and AD.

Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)

simplify the expression 9n+1/4+6y+4n-4y

***Any links will be reported***
****i will mark brainliest****​

I already know the answer I just need someone to explain step by step how to solve it. I need to know the process ​

rewrite 5/12 with the denominator 24​