QUESTION IMAGE
Question
twenty years ago, 53% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. a recent survey found that 295 of 850 parents of children in high school feel differently today than they did twenty years ago? use the α = 0.1 level of school felt it was a serious problem that high school students were not being taught enough math and science. do
because ( n p _ { 0 } ( 1 - p _ { 0 } ) = 211.7 > 10 ), the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied
(round to one decimal place as needed.)
what are the null and alternative hypotheses?
( h _ { 0 } ) versus ( h _ { 1 } )
(type integers or decimals. do not round.)
Step1: Identify the claim
The claim is whether parents feel differently today than 20 years ago. 20 years ago, \(p_0 = 0.53\).
Step2: Set up the null and alternative hypotheses
The null hypothesis \(H_0\) is a statement of no - change. So \(H_0:p = 0.53\).
The alternative hypothesis \(H_1\) is a statement of change. Since we want to know if parents feel differently (not specified as more or less, just different), \(H_1:p
eq0.53\)
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\(H_0:p = 0.53\) versus \(H_1:p
eq0.53\)