(1) Collect 50 or more qualitative data items. First construct an appropriate se
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Question
(1) Collect 50 or more qualitative data items. First construct an appropriate set of hypotheses, H0 and H1, regarding your data. This might involve doing research regarding your data beforehand to figure out a meaningful set of hypotheses. Then, answer the following five parts: 1.Write down the null hypothesis. 2.Write down the alternative hypothesis. 3.Explain why you chose your hypotheses as such. 4.Do a hypothesis t-test of your data at the = 2% level of significance for the population proportion by carrying out the following five steps i.compute the value Z If it is a left-tailed test, what is the critical value, -z0.02? If it is a right-tailed test, what is the critical value, z0.02? If it is a two-tailed test, what are the two critical values, ±z0.01? ii.Write down the test statistic, z0. iii.Write down the P-value. iv.Write down the sample size. v.Write down the sample proportion. vi. Use the classical method to reach your conclusion on whether or not to accept or reject the null hypothesis. Be sure to explain how you reached your conclusion. vii.Use the P-value to reach your conclusion on whether or not to accept or reject the null hypothesis. Be sure to explain how you reached your conclusion. 5.Does the conclusion make sense to you? why or why not? This is the link of the data I plan to use and the variable is mfr.
https://www.statcrunch.com/app/index.php?dataid=509318
One sample proportion hypothesis test:
Outcomes in: mfr
Success : K
p : Proportion of successes
H0 : p = 0.25
HA : p 0.25
Hypothesis test results:
Variable
Count
Total
Sample Prop.
Std. Err.
Z-Stat
P-value
mfr
23
77
0.2987013
0.049346377
0.98692754
0.3237
Variable
Count
Total
Sample Prop.
Std. Err.
Z-Stat
P-value
mfr
23
77
0.2987013
0.049346377
0.98692754
0.3237
Explanation / Answer
1) H0 : p = 0.25
2) HA : p 0.25
3)We chose this hypothesis because we eant to test the claim that proportion is different from 0.25
4) z0.01 = 2.327 ,as this is two-tailed test
ii)TS = 0.9869
iii) p-value 0.3237
iv) n =50
v) smaple proportio= 0.2987013
vi) since TS <critical value
we fail to reject the null hypothesis or in vague words we accept the null hypothesis
vii) since p-value is less than 0.02
we fail to reject the null hypothesis or in vague words we accept the null hypothesis
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