kids with cell phones: a marketing manager for a cell phone company claims that more than 50% of children…
kids with cell phones: a marketing manager for a cell phone company claims that more than 50% of children aged 8 - 12 have cell phones. in a survey of 804 children aged 8 - 12 by a national consumers group, 410 of them had cell phones. can you conclude that the managers claim is true? use the α = 0.01 level of significance and the p - value method and excel. part: 0 / 5 part 1 of 5 state the appropriate null and alternate hypotheses. h0: h1: this hypothesis test is a (choose one) test.
Answer
Explanation:
Step1: Define the parameter
The parameter is the proportion $p$ of children aged 8 - 12 who have cell - phones.
Step2: State the null hypothesis
The null hypothesis $H_0$ is a statement of no effect or no difference. Here, it is that the proportion is at most 50% or 0.5. So, $H_0:p\leq0.5$.
Step3: State the alternative hypothesis
The marketing manager claims that more than 50% of children aged 8 - 12 have cell - phones. So, the alternative hypothesis $H_1:p > 0.5$.
Step4: Identify the type of test
Since the alternative hypothesis has a '>' sign, this is a right - tailed test.
Answer:
$H_0:p\leq0.5$ $H_1:p > 0.5$ This hypothesis test is a right - tailed test.