1. We know that if sample size is greater than 30,then we use z statistic.
Here for testing a hypothesis about a population proportion and a sample size is over 100 .
The proper test statistic to use is Z statistic (A)
2. We know that a smaller standard error will no effect on critical value.
So if we are using the critical value approach to do a single tailed hypothesis test on the population mean, there is d) no change in critical value with a smaller standard error of our test statistic.
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