The Sample Correlation Coefficient Between X and Y Is 0 $\rho$

question 24

Multiple Choice

The sample correlation coefficient between X and Y is 0.375.It has been found out that the p- value is 0.744 when testing H₀ : $\rho$ = 0 against the one-sided alternative H₁: $\rho$ $\lt$ 0.To test H₀ : $\rho$ = 0 against the two-sided alternative H₁: $\rho$ $\neq$ 0 at a significance level of 0.1,the p-value is

• A)0.744 / 2
• C)1- 0.744

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Definitions:

Population proportion

The ratio of members in a population that have a particular attribute or characteristic, represented as a fraction or percentage of the total.

Standard error of the mean

The standard deviation of the sampling distribution of the mean, indicating the variability of sample means around the population mean.

Average hourly income

The mean amount of money earned by an individual or group per hour of work.

Standard deviation

A measure of the dispersion or variability of a set of numerical data, indicating how much the individual data points deviate from the mean (average) of the data set.