Under what circumstances is the t statistic used instead of the Z score for a hypothesis test?

Q: ) What conclusions can be drawn from this hypothesis test?

A: a) H0:μ=15.7VersusHa:μ<15.7   Level of significance valueα=0.05 Test statistic value of T = x-μsn…

Q: The level of risk associated with the null hypothesis is generally set at?

A: Given data The level of risk associated with the null hypothesis

Q: What is the P-value of a hypothesis test? When does it provide evidence against the null hypothesis?

A: Introduction: P-value: The P-value can be defined as the probability of obtaining a sample result,…

Q: The P-value for a hypothesis test is P = 0.034. Do you reject or fail to reject H 0 when the level…

A: Given: The P-value for the Hypothesis test is P = 0.034 and the level of significance is α = 0.01.

Q: If the p-value found in an experiment is 0.85. We reject the null hypothesis. True False

A:

Q: A statistical test of hypothesis produces the P-value P = 0.221.  Will the null hypothesis be…

A: Given,P-value=0.221level of significance (α)=0.10

Q: We would like to compare the proportions of Notre Dame Seniors who choose to live off-campus by…

A: The claim of the test is to test whether the proportion of seniors living off-campus is…

Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…

A: From the provided information, Sample size (n) = 2500 From which 1723 are in favor of stricter gun…

Q: Be able to determine the null hypothesis from a description of an experiment?

A: Hypothesis: Hypothesis is an assumption about the parameter of the population which will be made on…

Q: Can you give me an example on how to write the null and alternative hypotheses and determine if each…

A: Basically, null hypothesis is the statement of a population parameter such as mean, proportion,…

Q: The strength of evidence in support of a null hypothesis is measured by a) Z-score b) Type 1 error…

A: We have to find correct answer for hypothesis...

Q: What is the probability of a Type Il error when a hypothesis test is being conducted at the 10%…

A: Here, we are going to say whether we can able to find the type two error. If we can, then going to…

Q: Why is it useful to obtain the power curve for a hypothesis test?

A: Power of a test:It is the chance or the probability of correctly rejecting the null hypothesis H0…

Q: In most experiments, researchers would prefer to fail to reject the null hypothesis.  Is this…

A: In the statistical hypothesis, the test statistic value lies either in the rejection region or in…

Q: Match the Null Hypothesis to the mathmatical description:

A: Test is that whether the mean length of unemployment differs among the residents of two local…

Q: Given that the P-value for the hypothesis test is 0.000 when rounded to three decimal places, what…

A: The P-value is 0.000 and the level of significance is 0.05. Here, P-value is less than the level of…

Q: Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets…

A: Claim :- Less than half of all tickets sold are for Dreamfilms movies. Final Decision is Fail to…

Q: Find the​ P-value for a​ left-tailed hypothesis test with a test statistic of z=−1.42. Decide…

A: P( z < -1.42 ) = NORMSDIST( -1.42) ------ Excel function                      = 0.0778…

Q: What is the difference between failing to reject the null hypothesis and having evidence to support…

A: Given that  What is the difference between failing to reject the null hypothesis and having evidence…

Q: A snack food company produces a 454g bag of pretzels. Although the actual net weights deviate…

A: ANS#- Given, A snack food company produces a 454g bag of pretzels. Although the actual net weights…

Q: Which is the null hypothesis?

A: Test is that whether there is a significant relationship between a person's age and the number of…

Q: What would it mean to a hypothesis test if we increased or decreased the p-value? Why might someone…

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Q: Which plot indicates the null hypothesis of no difference would not be rejected?

A: Objective: To identify the plot that indicates the null hypothesis of no difference would not be…

Q: Which of the following relates to the rejection of the null hypothesis when it is actually true? 1.…

A: Answer: Type I Error Type I Error is also calculated as, α=P{ Reject Ho when it is true}=P{ Reject…

Q: Suppose you want to test the claim that , <H. Two samples are randomly selected from each…

A: The decision for the given claim is fails to reject the null hypothesis.

Q: The overall question is: Is this sufficient evidence to say that the two true proportions are…

A: Here compare proportion of male and female said yes

Q: If you use a 0.05 level of significance in a​ two-tail hypothesis​ test, what decision will you make…

A: Given  ZSTAT=-1.52, ɑ=0.05 Two tailed hypothesis

Q: If your question is that your significant hypothesis test is significant “enough” to have true…

A: Statistical significance: Statistical signifcance is the likelihood that a relationship between two…

Q: Explain whether or not rejecting the null hypothesis makes the alternative hypothesis true and why.…

A: 1). It is known that null and alternative hypotheses are contradicting (opposite to) each other.…

Q: If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule,…

A: level of significance  = 0.10 Two-tail hypothesis test

Q: Which of the elements of a test of hypothesis can and should be specified prior to analyzing the…

A: In the field of statistics, a hypothesis is a claim about some aspect of a population. A hypothesis…

Q: harder to reject the null hypothesis when the sample size is 1,500 compared to a sample size of…

A: The power of a test is the probability of making a correct decision, i.e., probability of rejecting…

Q: t is more difficult to reject a null hypothesis if we use a 10% level of significance compared with…

A: Given that  Rejection of null hypothesis Level of significance (α)= 0.10 Level of significance (α) =…

Q: Select the appropriate null and alternative hypothesis for the following research question: People…

A: The claim is that people who see therapists have lower depression than people who do not see…

Q: The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample…

A: Decision rule:Denote z as test statistic value and z(α/2) as the critical value.Decision rule based…

Q: How do you determine whether or not the paired t test is appropriate for a two-sample hypothesis?

A:

Q: If you have questioned that your significant hypothesis test is significant “enough” to have true…

A: Introduction - Hypothesis- In statistics , a hypothesis is defined as a formal statement , which…

Q: The body weight of a healthy 3-month-old colt should be about u = 66 kg. (a) If you want to set up a…

A: From the provided information, Population mean (µ) = 66 kg

Q: What does failing to reject a null hypothesis imply?

A: Given,         What does failing to reject a null hypothesis imply?

Q: The p-value was reported to be small, so we would reject the null hypothesis at a 5% level and…

A: A random sample of 80 junior hockey league players in 2018 was taken. The NHL claims that there is…

Q: The p-value for a hypothesis test turns out to be 0.00857. At a 8% level of significance, what is…

A: Decision rule using p-value : Reject null hypothesis (H0) if p-value less than significance level…

Q: Assess the evidence against the null hypothesis if the P-value of the hypothesis test is 0.062.

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Q: When asked what it means for the result of a hypothesis test to be practically significant (or…

A:

Q: Q13. The null Hypothesis is rejected, if the P-value is larger than significance level. a. True b.…

A: We have to find given statement is true or false..

Q: Which of the following accurately describes a hypothesis test?

A: We know that the hypothesis testing is a part of drawing inference about population.

Q: When is a researcher at risk of making a type 2 error?   whenever H0 is rejected  whenever H1 is…

A: When is a researcher at risk of making a type 2 error?   A type II error that describes the error…

Q: The test statistic for this hypothesis? The p value

A: We have given that  Sample size, n = 848 Favourable cases, X = 425 Sample proportion, p^ = X/n =…

Q: P value < a/2, on a two-tailed hypothesis test would lead to rejecting H,

A:

Q: When asked what it means for the result of a hypothesis test to be practically significant (or…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.