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 .

30 people weigh 160 pounds or more