The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied

Solution :

Given data :

x = 65, n = 300

  = 0.2167

The hypothesis are :

The , α = 0.05

The test is right tailed.

The standard deviation is :

σ = 0.0265

The test statistics is :

  = -3.14

The critical value is 1.645

The rejection region is : If z > 1.645, then we reject

Decision :

Since the test statistics does not lie in the rejection, so we fail to . .

P-value :   = 0.9992

Therefore, the p-value is not less than the level of significance so we fail to .

50-38=12

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.