Question

True or False

	The correlation coefficient of 0.5 indicates a positive association, while a correlation coefficient of -0.8 indicates a negative association.
	A researcher rejected the null hypothesis at a 1% significance level, so the researcher will also reject the null hypothesis at a significance level of 5%.
	When a researcher calculated the 99% confidence interval, the resulting level of confidence increased as compared to the 95% interval.
	When a researcher calculated the 99% confidence interval, the resulting range of the CI decreased as compared to the 95% interval.
	When a researcher calculated the CI with a sample size of 100, the resulting range of the CI decreased as compared to a sample size of 50.
	The standard error of a sampling distribution is smaller than the population standard deviation.
	The mean of a sampling distribution is smaller than the population mean.

Answer 1

Solution:

The correlation coefficient of 0.5 indicates a positive association, while a correlation coefficient of -0.8 indicates a negative association.

Answer: True.

The value of the correlation lies between -1 and +1. If the value of the correlation is positive, it means there is a positive association and if the value of the correlation is negative, it means there is a negative association.

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A researcher rejected the null hypothesis at a 1% significance level, so the researcher will also reject the null hypothesis at a significance level of 5%.

Answer: True.

If the null hypothesis is rejected at the 0.01 significance level, it means the p-value is less than 0.01. Therefore, the null hypothesis will be rejected at the 0.05 significance level as well because the p-value is less than 0.05 as well.

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When a researcher calculated the 99% confidence interval, the resulting level of confidence increased as compared to the 95% interval.

Answer: True.

The level of confidence increases as the confidence level increases

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When a researcher calculated the 99% confidence interval, the resulting range of the CI decreased as compared to the 95% interval.

Answer: False.

The range of the confidence interval increases as the confidence level increases. Therefore, the given statement is false.

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When a researcher calculated the CI with a sample size of 100, the resulting range of the CI decreased as compared to a sample size of 50

Answer: True.

The range of confidence decreases as the sample size increases.

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The standard error of a sampling distribution is smaller than the population standard deviation.

Answer: True.

The standard error of the sampling distribution is equal to the population standard divided by the square root of the sample size. Therefore, the given statement is True.

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The mean of a sampling distribution is smaller than the population mean.

Answer: False.

The mean of the sampling distribution is equal to the population, therefore, the given statement is false.