The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Using the P-Value from the previous question, what is the conclusion of our hypothesis test at the α = 0.05 significance level?

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

A: The t statistic is used when the population standard deviation or population variance is not known.…

Q: The Northwest Missourian reported that 17% of all Northwest students attended a Northwest Encore…

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Q: For a left tail hypothesis test with a sample size of 10 and a .10 level of significance, the…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

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: In conducting a significance test, is it easier or harder to reject the null hypothesis when the…

A: Decision rule :Reject Null hypothesis if z statistic > zα/2 critical value at α level of…

Q: Suppose a professional basketball player storically makes 37% of his three-point field als. After a…

A: Solution: Given information: n= 75 Sample size  x= 36 success  p^=xn=3675=0.48  Sample proportion…

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: A certain university has decided to introduce the use of plus and minus with letter grades, as long…

A: Given info: A certain university has decided to introduce the use of plus and minus with letter…

Q: Back in April and May of 1985, the Gallup organization conducted a poll to estimate the   percentage…

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Q: Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025…

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Q: It is expected that a treatment will reduce scores on a variable. If α = .05, what is the critical t…

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Q: Illustrate the null hypothesis for a correlated t test?

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Q: A One-Sample t-test is conducted and the APA summary is t(200) = 5.02, p < .05. The effect size was…

A: Hypothesis test are used to compute whether the null hypothesis rejected or not. Hypothesis is the…

Q: The following MINITAB output presents the results of a hypothesis test for a population proportion…

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…

Q: With a p value of .04 and an ⍺ of .05, should you reject or fail to reject the null hypothesis?"

A: Given that: p-value= 0.04 ⍺=0.05

Q: In a hypothesis test with hypotheses H0 : P greater than equal 0.76 and H1 : P less than 0.76 , a…

A: Denote p as the true population proportion. The null and alternative hypotheses are: Null…

Q: A One-Sample t-test is conducted and the APA summary is t(9) = 5.02, p < .01.  The effect size was…

A: Decision Rule: Reject the null hypothesis, if the effect size is greater than 0.8.

Q: An automobile mileage study tested the following hypotheses. Hypothesis H 0: μ > 25 mpg Ha: μ 25 mpg…

A: Sample size for one tailed hypothesis test:The general formula to obtain the sample size for one…

Q: Back in April and May of 1985, the Gallup organization conducted a pll percentage of Americans who…

A: p1 = 0.5203 p2 = 0.5497 n1 = 1528 n2 = 1528

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

A: P( z &lt; -1.42 ) = NORMSDIST( -1.42) ------ Excel function                      = 0.0778…

Q: ) In testing hypotheses, which of the following would be strong evidence against the null…

A: If the P-value is smaller then we reject the null hypothesis.

Q: The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances…

A: From the given information, n=500 and x=65.

Q: With H1: p < 0.32, a test statistic is z = -1.23.  Use a 0.01 significance level to find the…

A: Given that,null,  Ho:p=0.32  alternate,  H1: p&lt;0.32level of significance, alpha = 0.01

Q: Norman is performing a hypothesis test in which he rejects the null hypothesis at a significance…

A: Given that  Norman is performing a hypothesis test in which he rejects the null hypothesis H0. Level…

Q: The test statistic of z = 2.47 is obtained when testing the claim that p > 0.8. Identify the…

A: Given, The test statistic of z = 2.47 is obtained when testing the claim that p &gt; 0.8. The…

Q: It is expected that a treatment will reduce scores on a variable.If a=.05,what is the critical t…

A: α=0.05metailed test,n=15,df=15-1=14claim; μ&lt;0   Hypothesis;   H0:μ=0…

Q: It is of interest to determine if there is a significant difference in population mean IQ among…

A: IQ data from four randomly-selected students from each of the three schools is provided.    Null…

Q: Test the claim that the proportion of men who own cats is smaller than 80% at the 0.01 significance…

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Q: The test statistic of z= 1.19 is obtained when testing the claim that p> 0.3. a. Identify the…

A: a. Different null and alternative hypotheses can be defined as given below Two tailed test: Left…

Q: othesis test H0:μ=6H0:μ=6 versus H1:μ≠6H1:μ≠6 and variance known, calculate the  p-value for the…

A: Given:The population standard deviation is known.As we can see, the test is a two-tailed test.…

Q: The test statistic of z=1.39 is obtained when testing the claim that p≠0.548.   a. Identify the…

A: (a)   State the hypotheses. That is, the true population equals 0.548. That is, the true…

Q: If a researcher obtained a P-value of 0.01 for a hypothesis test that has a significance level of…

A: The P-value is 0.01.

Q: If you have an experimental manipulation that you hypothesize will decrease scores, then for you to…

A: To reject the null hypothesis, the observed z score must be extreme than the critical z score.

Q: Norman is performing a hypothesis test in which he rejects the null hypothesis at a significance…

A: Norman is performing a hypothesis test in which he rejects the null hypothesis at a significance…

Q: It is expected that a treatment will reduce scores on a variable. If α = .05, what is the critical t…

A: According to the provided information, α = .05 n = 15 df = n-1 = 15-1 = 14

Q: Based on certain data, a null hypothesis is rejected atthe 0.05 level of significance. Would it also…

A: Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…

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: A polling company conducted a hypothesis test to see if people are happy with the government, and…

A: Given : A polling company conducted a hypothesis test to see if people are happy with the…

Q: In testing hypotheses, which of the following would be strong evidence against the null hypothesis?…

A: Basics:

Q: Find the value of the standard score, z, and determine whether to reject the null hypothesis at a…

A: Given that  Null hypothesis H0 : μ=19.1 meters Alternative hypothesis H1 : μ≠19.1 meters Sample size…

Q: The test statistic of z=1.75 is obtained when testing the claim that p>0.8. a. Identify the…

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Q: If a hypothesis test were conducted using a 5% level of significance, for which of the following…

A: From the above data. If a hypothesis test were conducted using a 5% level of significance, for which…

Q: Lillie conducts a hypothesis test and calculates that her sample results have a p-value of .0043,…

A: Given: p value = 0.0043 Assumed level of significance α=0.05

Q: In a clinical trial, 16 out of 857 patients taking a prescription drug daily complained of flulike…

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Q: he following results are for two independent samples taken from the two populations. Sample 1…

A: Sample 1 Sample 2 n1 = 40 n2 = 50 x-bar1 = 25.5 x-bar2 = 22.8 σ1 = 5.2 σ2 = 6.0

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

A: Given that  When asked what it means for the result of a hypothesis test to be practically…

Q: In the language of hypothesis testing, which of the following is an INCORRECT statement? The null…

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Q: The test statistic of z = 0.85 is obtained when testing the claim that p > 0.2. Identify the…

A: State the hypotheses.   Identify the tail of the test.   The tail of the test is determined below…

Q: In a hypothesis test with hypotheses Ho : p 2 0.31 and H1 :p < 0.31, a random sample of size 519…

A: Here, H0: p ≥ 0.31 Vs Ha: p &lt; 0.31, Here, the sample size is, n = 519; sample proportion,…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.