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11.98 Consider a hypothesis test for two population proportions with the null hypothesis H0:p1=p2. What parameter is being estimated by the
a. sample proportion p1?
b. sample proportion p^2 ?
c. pooled sample proportion p^p ?

Short Answer

Expert verified

(a) The population proportions p1are used to estimate the sample proportion p^1.

(b) The population proportions p2 are used to estimate the sample proportion p^2.

(c) The sample proportion p^pis estimated by the population's proportions p.

Step by step solution

01

Part (a) Step 1: Given information

To find the parameter is being estimated by the sample proportion p^1.

02

Part (a) Step 2: Explanation

The null hypothesis H0:p1=p2 is used in the hypothesis test for two population proportions.
The hypothesis test is applied to two population proportions in this case.
The population proportions p1can be used to determine the sample proportion p^1.
As a result, the population proportions p1are used to estimate the sample proportion p^1.

03

Part (b) Step 1: Given information

To find the parameter is being estimated by the sample proportion p^2.

04

Part (b) Step 2: Explanation

The null hypothesis H0:p1=p2 is used in the hypothesis test for two population proportions.
The hypothesis test is applied to two population proportions in this case.
The population proportions p2can be used to determine the sample proportion p^2.
As a result, the population proportions p2are used to estimate the sample proportion p^2.

05

Part (c) Step 1: Given information

To find the parameter is being estimated by the pooled sample proportion p^p.

06

Part (c) Step 2: Explanation

The null hypothesis H0:p1=p2 is used in the hypothesis test for two population proportions.
The hypothesis test is applied to two population proportions in this case.
pis the common value of the proportions p1and p2.
As a result, the population proportions pcan be used to determine the sample proportion p^p.

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