Pregunta
In a newspaper’s survey of 467 pecple,
Teat Statistic z: 0.7567
Giticalz:
Pratke 0.4315
a. Is the tedt two taied lote tailed or rght tailed?
Choose the cornect answer below.
trotailed
reght tailed
let tailed
b. What is the lest statistic?
c. What is the Pvalue?
Pratie
Teat Statistic z: 0.7567
Giticalz:
Pratke 0.4315
a. Is the tedt two taied lote tailed or rght tailed?
trotailed
reght tailed
let tailed
b. What is the lest statistic?
c. What is the Pvalue?
Ask by Hodgson Lambert. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a) The test is two-tailed.
(b) The test statistic is
© The P-value is
Solución
(a) Since the claim tests whether the proportion is different from 0.5 (that is, half), the alternative hypothesis is
which makes the test a two‑tailed test.
(b) The given test statistic is
© For a two‑tailed test, the P‑value is the probability of obtaining a test statistic at least as extreme as the observed value in either direction. The provided P‑value is
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Simplifique esta solución Mind Expander
It looks like you’re diving into the realm of statistics! Just to clarify your context, when you’re testing whether more than half of a population supports an idea, you’re often in a fascinating tug-of-war between data and hypotheses. In your case, you’re testing whether the proportion of people wanting to replace passwords is statistically significant using a normal distribution—exciting stuff!
Now let’s break down a couple of points that might help illuminate your inquiry further!
The use of a normal distribution to approximate a binomial distribution is particularly useful when you’re dealing with large sample sizes, such as your survey of 467 people. It allows for easier computation of probabilities and critical values. The central limit theorem kicks in here, which tells us that as sample size increases, the sampling distribution of the sample proportion will approximate a normal distribution, even if the original population distribution is not normal.
The use of a normal distribution to approximate a binomial distribution is particularly useful when you’re dealing with large sample sizes, such as your survey of 467 people. It allows for easier computation of probabilities and critical values. The central limit theorem kicks in here, which tells us that as sample size increases, the sampling distribution of the sample proportion will approximate a normal distribution, even if the original population distribution is not normal.
For practical applications, understanding how to conduct hypothesis testing, like what you’re doing with this survey data, is crucial in many fields. Whether you’re in business, healthcare, or even sports, making data-driven decisions based on survey results can significantly impact strategies and outcomes. Knowing how to interpret p-values and z-scores empowers you to make decisions that are backed by evidence, helping you weigh options more effectively!
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