We simply keep 2 as a whole number and to convert into a fraction, we always divide by 100 when it comes to the tenths place in decimals.
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different
1 answer:
You might be interested in
We simply keep 2 as a whole number and to convert into a fraction, we always divide by 100 when it comes to the tenths place in decimals.
Answer:
(1) : p = 0.5,
: p > 0.5
(2) Test statistic = 3.08
(3) P-value = 0.00104
Step-by-step explanation:
We are given that a simple random sample of 1475 adults shows that 54% of Americans think the Civil War is still relevant to American politics and political life.
We have to test the hypothesis to determine if there is a strong evidence that the majority of the Americans think the Civil War is still relevant.
(1) Let Null Hypothesis, : p = 0.50 {means that 50% of the Americans think that the Civil War is still relevant}
Alternate Hypothesis, : p > 0.50 {means that majority of the Americans think that the Civil War is still relevant,i.e; more than 50%}
The test statistics that will be used here is One-sample proportion test;
T.S. = ~ N(0,1)
where, = % of Americans who think that the Civil War is still relevant in a sample of 1475 adults = 54%
p = population proportion
n = sample of american adults = 1475
(2) So, <u>test statistics</u> =
= 3.08
The value of test statistic for this hypothesis test is 3.08.
(3) P-value is given by the following situation;
P(Z > 3.08) = 1 - P(Z 3.08) {using z table}
= 1 - 0.99896 = 0.00104
So, the p-value for this hypothesis test is 0.00104.
Answer:
1509
Step-by-step explanation:
We know that, formula for number of samples is,
When nothing is given, we take and we know that
.
SE = 0.03 (the true proportion should remain withing 3%)
Putting the values we get,
Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.