An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.

Answer:

Step-by-step explanation:

From the information given:

[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]

[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]

The characteristic of the comparison is a uniform distribution.

Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.

[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]

At 0.05;

Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]

Prefered     Observed    Expected     Expected     (O - E)       (O - E)²/ E

                   frequency   frequency     proportions

Cup cakes           16        20                  0.333          -4.00           0.800

Candy bars          26       20                 0.333             6.00           1.800

Dried apricots      18        20                 0.333            -2.00          0.200

Total                     60       20                     1                 -2.00           2.800

Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]

Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.

Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.

THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing​

Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2

Use distributive property for 3.2= 4/5(b - 5)

Divide 110 between two friends so that one gets 16 more than the other. solve the equation ​

Given m∥n, find the value of x.

..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?

24 divided by 4 times d

Enter
31/100 as a money amount and as a decimal in terms of dollars.

The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?


A.

(-5, 1)


B.

(-4, -1)


C.

(4, -5)


D.

(4, 4)

What is the value of the expression below?
13 - (-9)

I need to solve -15 (1/5w -1/3) problem for math class

if

sin150°=1/2 fiind sin75°​

AAAHHHHH!!!!!!! SOMEONE HELP!!!!

is the ordered pair (1, -3) a solution to
3x + 5y = -8?

A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?

Calculate the slope of the graph using (4,8) and (1, 10) using the Slope Formula. Write your answer in simplest form​

Is borrowing money a

Delegated power
Reserved power
Concurrent power

en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?​

Describe the slope and y-intercept of the line y = -x + 2.

equations with variables on both sides that makes the answer x=9

HELPPPP
the last part says select 3 options​

A grocery store manager ordered 243 cases of Cheez its. Each case contains 15 boxes and each box is made up 8 packs of Cheezb its. How many packs of Cheez its did the grocery store manager order?

​

solve and receive brain list ​

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y – 2 = -8

James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?

x to the third power =8/27​

5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *

what is given​

4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32

It is important to comparison shop when purchasing a car.
What does comparison shop mean?

-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle

combine like terms to create an equivalent expression

3.26d + 9.75d - 2.65​