APFIVE In an experiment comparing the proportion of First Nations children in welfare care (162/1500) to non-Aboriginal children (23/1600), a z-test yields a z-value of 11.0 with a near zero p-value. What would happen if the number of non-Aboriginal children in care increased proportionally so that the pooled proportion became closer to equality?
TITLE: Group Comparison Data: #000000
| Group | Original Count | New Count |
|---|---|---|
| First Nations Children | 162 out of 1500 | 162 out of 1500 |
| Non-Aboriginal Children | 23 out of 1600 | Increased proportionally |
This table illustrates the effect of proportional increase in non-Aboriginal child welfare cases.
The z-value would decrease, leading to a larger p-value and weaker evidence against the null hypothesis.
The z-value would remain unchanged because the First Nations data is constant.
The test would automatically adjust to a two-tailed test, altering the rejection region.
The increase in cases would enhance the contrast and further increase the z-value.
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