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:
144 feet
Step-by-step explanation:
Since this is a quadratic equation, we simply need to find the vertex in order to determine the maximum height!
To solve the equation, follow these steps!:
Now we insert x back into the equation...
A) The answer is 9.3 * 10⁷ mi
First, represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10:
93,000,000 mi = 9.3 * 10,000,000 mi
10,000,000 = 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10⁷
93,000,000 mi = 9.3 * 10,000,000 mi = 9.3 * 10⁷ mi
b) The answer is 4 * 10⁻² in
Represent the number as the product of a number in the range 1 up to 10 and a number divisible by 10.
0.04 in = 4 * 0.01 in
0.01 = 10⁻²
0.04 in = 4 * 0.01 in = 4 * 10⁻² in
c) The distance to the sun in inches is 5,892,480,000,000 in
1 mi = 63,360 in
93,000,000 mi = 93,000,000 * 63,360 in = 5,892,480,000,000 in
<span>How many fireflies would it take to reach the sun if they were put end to end:
</span>147,312,000,000,000<span>
x - number of fireflies
x * 0.04 in = </span>5,892,480,000,000 in
x = 5,892,480,000,000 in / 0.04 in
x = 147,312,000,000,000
