delmar claims that, on average, he practices the piano at least 2 hours per day. in a hypothesis test of…

delmar claims that, on average, he practices the piano at least 2 hours per day. in a hypothesis test of this claim, $h_0$ is $mugeq2$ and $h_a$ is $mu < 2$, where $mu$ is the number of hours, on average, delmar practices daily. the diagram shows the critical region for the hypothesis test. the z - statistic for a sample of delmars practice times is 1.41. how should this statistic be interpreted in terms of the hypothesis test? $h_0$ should be rejected. $h_0$ should be accepted. there is not enough evidence to reject $h_0$. done

delmar claims that, on average, he practices the piano at least 2 hours per day. in a hypothesis test of this claim, $h_0$ is $mugeq2$ and $h_a$ is $mu < 2$, where $mu$ is the number of hours, on average, delmar practices daily. the diagram shows the critical region for the hypothesis test. the z - statistic for a sample of delmars practice times is 1.41. how should this statistic be interpreted in terms of the hypothesis test? $h_0$ should be rejected. $h_0$ should be accepted. there is not enough evidence to reject $h_0$. done

Answer

Explanation:

Step1: Recall hypothesis - test decision rule

In a one - tailed z - test, if the calculated z - statistic is in the non - critical region, we fail to reject the null hypothesis $H_0$. If it is in the critical region, we reject $H_0$.

Step2: Compare z - statistic with critical value

The critical value is $z^*=- 1.65$ and the calculated z - statistic is $z = 1.41$. Since $1.41>-1.65$, the z - statistic is not in the critical region.

Answer:

There is not enough evidence to reject $H_0$.