I need answer full parts to the question.

Harley Ayers

Harley Ayers

Answered question

2022-03-31

I need answer full parts to the question. Show all work and be neat. Show all conditions, and p-value, conclusion, anything under the 4 step statistical process. Thanks!
It can be difficult to motivate preschoolers to practice writing letters. Perhaps a reward system will do the trick, but what type of rewards work? Here are the data from a randomized experiment that compared three treatments among children in preschool. A “success" means that the child completed a worksheet in which they traced the entire alphabet in one sitting.
GroupRewardSubjectsSuccesses1Choice of a small toy20132Choice of candy24183Promise of immediate recess1610
(a) Which chi-square test is appropriate in this setting? Explain your reasoning
(b) State the appropriate hypotheses for performing a chi-square test in this setting.
(c) The chi-square test statistic is χ2=0.847. Calculate the P-value.
(d) Interpret the P-value
(e) What conclusion would you draw?

Answer & Explanation

Jambrichp2w2

Jambrichp2w2

Beginner2022-04-01Added 12 answers

Hypothesis testing is conducted for the parameters of the population like population mean, population standard deviation and so on. It is to check whether the sample values conform to the prestated parameter values of the original distribution or not. There are various tests that are used while conducting the hypothesis testing. These are:
1.z test
2.t test
3.F test
4.Chi-square test.
The chi square test could be classified as:
1.Chi-square test for independence.
2.Chi-square test for goodness.
3.Chi-square test for homogeneity.
The Chi-Square Test of Independence is mainly used to check whether there is an association between categorical or qualitative variables, that is, whether the variables are independent or related (dependent) or not.
The formula to compute the test statistic for chi-square test of independence is:
χ2=(OEE)2
Here,
χ2=Chi square test statistic
O=Observed frequency
E=Expected frequency
=Summation
(a) In this case, two different categorical variables are being measured. Hence, the chi-square test of independence is appropriate here.
(b) The hypotheses are:
H0:There exists no relationship between two groups
Ha:There exists a relationship between two groups
(c)The degree of freedom is:
df=Number of categories -1
=3-1=2
The P-value is 0.655.
(d)Here, P-value is higher than assumed significance level. We cannot reject the null hypothesis.
(e)There is sufficient proof to say that the two variables are not dependent.

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