Answer:
Step-by-step explanation:
<u>1.Find the LCM(Least Common Multiple).</u>
That would be 20.
<u>2.Multiply so all denominators are equal.</u>
<u>3. Add</u>
<u></u>
<u>4. Simplify</u>
<u></u>
Given f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) +g(x)
1 answer:
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Answer:
a. The test statistic for this hypothesis would be z=1.71
b. Critical value at α = 0.10: z=1.282
c. Reject H0, the television network should not keep its current lineup.
d. H0: p ≤ 0.50; HA: p > 0.50
Step-by-step explanation:
We have to performa an hypothesis test on a proportion.
The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).
The null hypothesis will state that both shows have the same proportion.
Then, the null and alternative hypothesis are:
The sample proportion is p=0.53
The standard error of the proportion is:
Then, the z-statistic can be calculated as:
The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.
As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.
For between
and
, we have
when
;
for
; and
for
is continuous over its domain, so the intermediate value theorem tells us that
is true for .
For all , we take into account that
is
-periodic, so the above inequality can be expanded to
where is any integer. Equivalently,
To get the corresponding solution set for
simply replace with
: