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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 250 business students were randomly sampled and 75 have PC's at home. Find the rejection region for this test using a = .05




- reject h is z is greater than 1.645




reject h is z= 1.645




reject h if z is less than -1.645




reject h if z is greater than 1.96 or z is less than -1.96

Respuesta :

Answer:

Option A) reject null hypothesis if z is greater than 1.645

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 250

p = 30% = 0.3

Alpha, α = 0.05

Number of women belonging to union , x = 75

First, we design the null and the alternate hypothesis  

[tex]H_{0}: p = 0.3\\H_A: p > 0.3[/tex]

This is a one-tailed(right) test.

Rejection Region:

[tex]z_{critical} \text{ at 0.05 level of significance } = 1.645[/tex]

So, the rejection region will be

[tex]z > 1.64[/tex]

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645

Option A) reject null hypothesis if z is greater than 1.645

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