A researcher wishes to test the theory that men and women differ on a measure of

Question

A researcher wishes to test the theory that men and women differ on a measure of personality. The researcher draws a sample of 35 men and a sample of 35 women. The sample means on the personality measure are: men, 46.7; women, 51.4.
Using the .05 criterion of significance, the critical value needed to reject the null hypothesis is 2.03. If the standard error of the difference is 4.0, what should the researcher decide and what error might be made?

retain the null hypothesis—Type I error.

retain the null hypothesis—Type II error.

reject the null hypothesis—Type I error.

reject the null hypothesis—Type II error.

retain the null hypothesis—Type I error.

retain the null hypothesis—Type II error.

reject the null hypothesis—Type I error.

reject the null hypothesis—Type II error.

Explanation / Answer

Test statistic = (46.7 - 51.4)/4 = -1.175

Since this is greater than -2.03, we do not reject Ho. Hence,

Retain the null hypothesis - Type II Error. Option B is correct.

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