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Mathematics, 21.04.2020 02:01, madbiebzz
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 279 vinyl gloves, 60% leaked viruses. Among 279 latex gloves, 14% leaked viruses. See the accompanying display of the technology results. Using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Identify: null, alternative hypothesis, test statistic, and P-value.
The P-value is (1) the significance level ?, so (2) the null hypothesis. There is (3) evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
1) greater than / less than 2) reject / fail to reject 3) sufficient / insufficient
(Table at bottom of question)
Technology results:
Pooled proportion: 0.37
Test statistic, z: 11.3049
Critical z: 1.2816
P-value: 0.0000
80% Confidence interval: 0.4163430 < p1 ? p2 < 0.5083882
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