dentry the type I eTor and the type llenor that comespond to the given hypothesi

Question

dentry the type I eTor and the type llenor that comespond to the given hypothesis The pervertage al Ngh school students who graduate is greater than 55s domily the typu I enat Chaosa the conect a A. Rajuct the ruli hypothesix that the percentagi of high school studerts who graduate geater than 56% wner that percentage is actualy greater than 55%. O B Falto reject the mul hypothesis that the percentage of high school studarts who graduate is equal to 55% when that percentage is actually geater than 55% O 0. Rofect the rfl hypelhesis that the percentage of high school students who graduate equal 65ni when rher percentage is actualy equal to 56% Fri w ct the mal hypothesis is the type enur the that the percentage of high school studeres who greduate is greater than 55% when the percentage is actualy equal to 55% oamert answer below B. ect he rd hypothesis the percentrgo gradu e is greater tha when the percentage is actual equal 55N af school soudents who graduate is geater than 55% when tnat Percentage is actuely gereer than s5w o gathute ual to whan that Perceninge is actually geater than 55%

Explanation / Answer

here we want to identify the type 1 and type II error for percentage of highschool who graduate is greater than 55%

(a)

first we want to identify type 1 error

we know that

type 1 error occurs when the null hypothesis is true but is rejected which is probablity of incorrectly rejecting the null hypothesis.

here

Null hypothesis (Ho) : percentage of highschool who graduate is less than or equal to 55%

and here H1 : percentage of highschool who graduate is greater than 55%

that we test the Ho against the H1

that is here type I error is

the reject the null hypothesis that the percentage of students who graduate is greater than 55% when the percentage actually greater than 55 %

that is here option A is correct.

(b) Now here we want to identify the type II error

we know that type II error occurs when the null hypothesis is false but we fails to reject it.

that is here the percentage of students who greater than 55% against tha null hypothesis Ho .

that is here we fail to reject the null hypothesis that the percentage of high school students who is graduate 55%when the percentage is actually 55 %

that is here option A is correct

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