Mrs. Robinson is riding the stationary bike at the gym. She completes 24 9/10 wheel rotations every 1/5 minute. What is Mrs. Rob
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.
Answer:
Step-by-step explanation:
It's important to note that when two angles create a straight line, they are supplementary.
This means their angle measures add up to 180° since a 180° angle is a straight line.
Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.
Combine like terms:
Subtract 27 from both sides:
Divide both sides by 9:
So x = 17.
Hope this helped!