Question

12. A research study uses a single sample of participants to evaluate the effect of a treatment. The results of the hypothesis test are reported as follows: (14)=2.73.p<.05." Based on this report, what was the statistical decision? (a) The null hypothesis was rejected and the probability of a Type I error is less than .05. b. The null hypothesis was not rejected and the probability of a Type I error is less than .05. e. The null hypothesis was not rejected and the probability of a Type Il error is less than .05. d. There is not enough information to determine the decision from the hypothesis test. 13. The homogeneity of variance assumption states that the two sample variances are equal b) the two samples come from the same population variance must stay copstant for each subject in the experiment the samples come from populations with equal variances 14. The alternative hypothesis for an independent-measures t test states 1. Hi - 2 b. M -M 0 - 0 4. M, - M -0< M - Mato M. - r = 0

give reason please

Answer 1

(12) Option (a): The null hypothesis was rejected and the probability of a type I error is less than 0.05.,

T(14) means the degrees of freedom = 14, and the critical value at Alpha = 0.05 is 2.145. Since t obs > t critical, the H0 is rejected, and we will get a p value < Alpha (so that H0 may be rejected)

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(13) Option (d): The assumption states that the two samples come from populations with equal variances.

If this is violated, the test statistic so obtained can cause misleading conclusions, and hence the condition above should not be violated.

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(14) Option (c): The alternative hypothesis can neber contain the '=' (equal to sign). It can either have the grater than (>), lesser than (<) or not equal to ( $\neq$ ) sign, Also any hypothesis, will contain the population symbol and not of the sample.

Hence is the correct hypothesis.

07 – Id:

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