Suppose that in a random selection of 100100 colored candies, 2424% of them are

Question

Suppose that in a random selection of

100100

colored candies,

2424%

of them are blue. The candy company claims that the percentage of blue candies is equal to

2323%.

Use a

0.100.10

significance level to test that claim.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0H0:

pequals=0.230.23

Upper H 1H1:

pless than<0.230.23

B.

Upper H 0H0:

pequals=0.230.23

Upper H 1H1:

pgreater than>0.230.23

C.

Upper H 0H0:

pnot equals0.230.23

Upper H 1H1:

pequals=0.230.23

D.

Upper H 0H0:

pequals=0.230.23

Upper H 1H1:

pnot equals0.23

Explanation / Answer

here as the hypothesis is bi-directional ;cause we are checking if percentage of blue candies is equal to 23% and not checking if it is less or greater; tehrefore correct hypothesis is:

option D

p=0.23

p0.23

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