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Question 1
One ESP test asks the subject to view the backs of cards and identify whether a circle,
square, star, or cross is on the front of each card. If p is the proportion of correct
answers, this may be viewed as a hypothesis test with He: p=0.25 and H:p>0.25.
The subject is recognized to have ESP when the null hypothesis is rejected. What
would a Type II error result in?
(A) Correctly recognizing someone has ESP
(B) Mistakenly thinking someone has ESP
(C) Not recognizing that someone really has ESP
(D) Correctly realizing that someone doesn't have ESP
(E) Failing to understand the nature of ESP

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

if i put something wrong your not gonna like it so rather not say nothing.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places