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Two-Sample Tests โ€” Compare Two Means or Two Proportions

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StatisticsCommon Core VAR-7.AINFVerified correct โœ“

Worked examples

Group 1: nโ‚ = 150, xโ‚ = 98 successes (pฬ‚โ‚ = 0.6533). Group 2: nโ‚‚ = 150, xโ‚‚ = 38 successes (pฬ‚โ‚‚ = 0.2533). The null hypothesis is Hโ‚€: pโ‚ = pโ‚‚. Compute the two-proportion z test statistic using the pooled proportion.
Answer: 6.9586
Group 1: nโ‚ = 100, xโ‚ = 30 successes (pฬ‚โ‚ = 0.3000). Group 2: nโ‚‚ = 150, xโ‚‚ = 90 successes (pฬ‚โ‚‚ = 0.6000). The null hypothesis is Hโ‚€: pโ‚ = pโ‚‚. Compute the two-proportion z test statistic using the pooled proportion.
Answer: -4.6513

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