Question

A sleep researcher hypothesizes that sleep is related to feelings of tiredness. Below are partial SPSS results with α = 0.01 of the analysis for a sample of participants at a sleep center.

$fs_corr_exm_app_pkg_pc_fall_01_b_img$

a) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
Critical value =  ; Test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

b) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
Effect size =  ;   ---Select--- na trivial effect small effect medium effect large effect

c) Make an interpretation based on the results.

More sleep is related to feeling more tired.More sleep is related to feeling less tired.    Sleep is not related to feeling tired.

Answer 1

The null and alternative hypothesis is, Ho: p=0 H: P70 Degrees of freedom=n-2= 13-2=11 Critical value oft at 0.01 level of significance and 11dfis 3.106 Critical value =3.106 Test statistic = t =- _ryn-2_0.804 V13-2 = 4.4844 V1– p2 71-(0.804)2 Thet value is greater than critical value oft. Hence we reject null hypothesis at 1% level of significance. Decision: Reject H. b) Effect size = 0.804; large effect c) Interpretation based on the results: More sleep is related to feeling more tired.