Solve the Problem $\mathrm { n } _ { 1 } = 400$

question 94

Essay

Solve the problem.
-A researcher wished to perform a hypothesis test to test the claim that the rate of defectives among the computers of two different manufacturers are the same. She selects two independent random samples and obtains the following sample data. Manufacturer
A: $\mathrm { n } _ { 1 } = 400$ , rate of defectives: $1.5 \%$ Manufacturer
B: $\mathrm { n } _ { 2 } = 200$ , rate of defectives: $3.5 \%$
Can the methods of this section be used to perform a hypothesis test to test for the equality of the two population proportions? Go through the steps of checking whether the conditions for the hypothesis test for two population proportions are satisfied. Show your calculations and state your conclusion.

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Definitions:

Simple Linear Regression Equation

The simple linear regression equation describes the relationship between two variables by fitting a straight line through the data points that minimizes the sum of the squared differences between observed and predicted values.

Point Estimate

A single value that serves as an estimate of a population parameter.

Regression Analysis

A statistical method for estimating the relationships among variables, including a dependent variable and one or more independent variables.

Least Squares Line

A straight line that minimizes the sum of the squared differences between observed values and the values predicted by the line.