Question to test your Steps in Hypothesis Testing knowledge

Question

A training coordinator claims that the median weekly hours employees spend on professional development is less than $5$ hours. You record the weekly hours for $12$ employees: $4 comma 6 comma 5 comma 3 comma 7 comma 5 comma 4 comma 6 comma 2 comma 8 comma 5 comma 3$
i) Identify the claim and state $H sub 0$ and $H_{a}$ .
ii) At the $0.05$ significance level, can you reject the coordinator’s claim? Interpret the decision.

Accepted Answer

i) H0:τ=5H_0:	au=5; Ha:τ5H_{a}:	auii) Fail to reject H0H_0. At the 5%5\% significance level, there is insufficient evidence to support the claim that the median weekly professional development hours is less than 55.

Answer

i) H0:τ=5H_0:	au=5; 5"\u003eHa:τ\u003e5H_{a}:	au\u003e5ii) Fail to reject H0H_0. At the 5%5\% significance level, there is insufficient evidence to support the claim that the median weekly professional development hours exceed 55.

Answer

i) H0:τ=5H_0:	au=5; Ha:τ≠5H_{a}:	au
e5ii) Reject H0H_0. At the 5%5\% significance level, there is sufficient evidence to support the claim that the median weekly professional development hours is 55.

Answer

i) H0:τ=5H_0:	au=5; Ha:τ≠5H_{a}:	au
e5ii) Fail to reject H0H_0. At the 5%5\% significance level, there is insufficient evidence to support the claim that the median weekly professional development hours is 55.

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