For a test of H_o: p = 0.5, the z

Marenonigt 2021-12-17 Answered
For a test of \(\displaystyle{H}_{{o}}:{p}={0.5}\), the z test statistic equals \(\displaystyle{1.52}\). Find the p-value for \(\displaystyle{H}_{{a}}:{p}{>}{0.5}\).

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Esther Phillips
Answered 2021-12-18 Author has 3112 answers
The main objective of the problem is to find the p-value for the z test statistic 1.52.
The p-value is obtained below:
\(\displaystyle{p}−{v}{a}{l}{u}{e}={P}{\left({Z}{>}{1.52}\right)}\)
\(\displaystyle={1}-{P}{\left({Z}\le{1.52}\right)}\)
From the standard normal table, the value of \(\displaystyle{P}{\left({Z}\le{1.52}\right)}\) is \(\displaystyle{0.9357}\).
\(\displaystyle{p}−{v}{a}{l}{u}{e}={1}−{0.9357}\)
\(\displaystyle={0.0643}\)
The p-value is 0.0643.
Not exactly what you’re looking for?
Ask My Question
0
 
Travis Hicks
Answered 2021-12-19 Author has 1627 answers
The p-value is obtained by subtracting the probability of z less than 1.52 from the total probability 1.
The probability of z < 1.52 is obtained by, taking the value that is intersected with the row containing the value ‘1.5’ the column containing the value ‘.02’, from the standard normal table.
0
nick1337
Answered 2021-12-28 Author has 9467 answers
The p-value is 0.0643
0

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-12-17
For a test of Ho: p = 0.5, the z test statistic equals -1.74. Find the p-value for Ha: p < 0.5.
a. 0.0892
b. 0.0446
c. 0.0409
d. 0.9554
e. 0.0818
asked 2021-11-05
For a test of \(\displaystyle{H}_{{{0}}}:\ {p}={0.5},\) the z test statistic equals 1.74. Find the p-value for \(\displaystyle{H}_{{{a}}}:\ {p}{>}{0.5}\).
a) 0.0446
b) 0.0409
c) 0.892
d) 0.9591
e) 0.0818
f) 0.9554
asked 2021-06-13
For a test of \(H_{0}:\ p=0.5,\) the z test statistic equals 1.74. Find the p-value for \(H_{a}:\ p>0.5\).
a) 0.0446
b) 0.0409
c) 0.892
d) 0.9591
e) 0.0818
f) 0.9554
asked 2021-12-11
Suppose you conduct a test and your p-value turns out to be 0.08. What can you conclude?
Reject \(\displaystyle{H}_{{o}}\) at \(\displaystyle\alpha={0.05}\) but not at \(\displaystyle\alpha={0.10}\)
a) Reject \(\displaystyle{H}_{{o}}\) at \(\displaystyle\alpha={0.05}\) but not at \(\displaystyle\alpha={0.10}\)
b) Reject \(\displaystyle{H}_{{o}}\) at \(\displaystyle\alpha={0.01}\) but not at \(\displaystyle\alpha={0.05}\)
c) Reject \(\displaystyle{H}_{{o}}\) at \(\displaystyle\alpha={0.10}\) but not at \(\displaystyle\alpha={0.05}\)
d) Reject \(\displaystyle{H}_{{o}}\) at alpha equal to \(\displaystyle{0.10},{0.05},\) and \(\displaystyle{0.01}\)
e) Do not reject \(\displaystyle{H}_{{o}}\) at \(\displaystyle\alpha\) equal to \(\displaystyle{0.10},{0.05},\) or \(\displaystyle{0.01}\)
asked 2021-11-06
Which of the following are assumptions for the Significance Test for the Proportion?
1) Data is Categorical.
2) Data is from a convenience sample.
3) \(\displaystyle{n}{p}_{{{0}}}\) and \(\displaystyle{\left({1}-{p}_{{{0}}}\right)}\) are both greater than 15
4) Data is Quantitative
5) Data is from a Normal Distribution
6) Data is from a random sample
7) \(\displaystyle\hat{{{n}{p}}}\) and \(\displaystyle{n}{\left({1}-\hat{{{p}}}\right)}\) are both greater than 15
asked 2021-11-19
Your math test scores are 68, 78, 90, and 91.
What is the lowest score you can earn on the next test and still achieve an average of at least 85?
Getting an Answer Solve your inequality to find the lowest score you can earn on the next test and still achieve an average of at least 85.
What score do you need to earn?
asked 2021-05-28
Find the margin of error for the given values of c,s, and n. c=0.95, s=2.2, n=64
...