(Solved): For a particular experiment, with a null hypothesis of mu=5 and an alternative hypothesis of mu &g ...

For a particular experiment, with a null hypothesis of $\mathrm{mu}=5$ and an alternative hypothesis of mu $>5$, a p-value of 0.057 is calculated. A 0.05 level of significance is set. The null hypothesis cannot be rejected--True or False? For each of the following p-values, state whether Ho will be rejected at the 0.10 level--yes or no? $\begin{array}{l}p=0.07\\ p=0.13\\ p=0.06\\ p=0.23\end{array}$ A bottling company produces bottles that hold 12 ounces of liquid each. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test the claim that their bottles hold less than 12 ounces, the bottling company randomly samples 20 bottles to find the average amount of liquid held and the standard deviation. Which of the following is the set of hypotheses the company wishes to test? a. ${\mathrm{H}}_0:\mu =12$ vs. ${\mathrm{H}}_{\mathrm{a}}:\mu \ne 12$ b. ${\mathrm{H}}_0:\mu =12v\mathrm{v}.{\mathrm{H}}_{\mathrm{a}}:\mu <12$ c. $H_0:\mu =12$ vs. $H_a:\mu >12$ d. $H_0:\mu <12$ vs. $H_{\mathrm{a}}:\mu =12$ Suppose you conduct a significance test for the population proportion and your p-value is 0.184 . Given a 0.10 level of significance, which of the following should be your conclusion? accept the alternative hypothesis fail to reject the alternative hypothesis accept the null hypothesis Fail to reject the null hypothesis reject the null hypothesis