Asked by Bijeta Pradhan on Jul 08, 2024

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When the necessary conditions are met, a two-tailed test is being conducted to test the difference between two population proportions. The two sample proportions are When the necessary conditions are met, a two-tailed test is being conducted to test the difference between two population proportions. The two sample proportions are   and   , and the standard error of the sampling distribution of   is 0.0085. The calculated value of the test statistic will be z = 3.41. and When the necessary conditions are met, a two-tailed test is being conducted to test the difference between two population proportions. The two sample proportions are   and   , and the standard error of the sampling distribution of   is 0.0085. The calculated value of the test statistic will be z = 3.41. , and the standard error of the sampling distribution of When the necessary conditions are met, a two-tailed test is being conducted to test the difference between two population proportions. The two sample proportions are   and   , and the standard error of the sampling distribution of   is 0.0085. The calculated value of the test statistic will be z = 3.41. is 0.0085. The calculated value of the test statistic will be z = 3.41.

Two-Tailed Test

A statistical test of hypothesis where the area of interest spans both tails of the distribution, allowing for investigation of deviations in two opposite directions.

Sample Proportions

The fraction or percentage of observations in a sample that fall into one particular category or class.

Standard Error

The standard deviation of the sampling distribution of a statistic, commonly the mean, indicating the variation of a sample statistic from the population parameter.

  • Derive the test statistic for contrasting proportions between two populations.
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Xavier Dei FisherJul 09, 2024
Final Answer :
True
Explanation :
This statement is true as the calculated value of the test statistic (z=3.41) is greater than the critical value of the two-tailed test at the chosen level of significance. Therefore, we reject the null hypothesis and conclude that there is a significant difference between the two population proportions.