4. In a random survey of 1000 households in Unlad Province, it is found that 29% of the households have at least one mnember with a college degree. Does this finding contradict the statement that the proportion of all such households in Unlad Province is 35 percent? Test at a -.05 significance level. 5. In a random sample of 400 electronic gadgets, 14 were found to be defective. The manufacturer wants to claim that less than 5% of all of their games are defective. Test this claim at the 0.01 significance level.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Answer number 4 and 5 only. I don't want to waste my money here

Activity 5: Tell me the Tail
Directions: In each problem below, give the null and alternative hypotheses
and identify whether it is right-tailed, left-tailed or two-tailed test.
1. A sample of 800 items produced on a new machine showed that 48 of
them are defective. The factory will get rid the machine if the data
indicates that the proportion of defective items is significantly more
than 5%. At a significance level of 10% does the factory get rid of the
machine or not?
2. A drug manufacturer claims that fewer than 10% of patients who take
its new drug for treating certain pneumonia will experience nausea.
In a random sample of 250 patients, 23 experienced nausea. Perform
a significance test at the 5% significance level to test this claim.
3. In a group of 375 Senior High School students, 40 were left-handed. Is
this significantly different from the proportion of all Senior High
School students who are left-handed, which is 12%?
4. In a random survey of 1000 households in Unlad Province, it is found
that 29% of the households have at least one member with a college
degree. Does this finding contradict the statement that the proportion
of all such households in Unlad Province is 35 percent? Test at a -.05
significance level.
5. In a random sample of 400 electronic gadgets, 14 were found to be
defective. The manufacturer wants to claim that less than 5% of all of
their games are defective. Test this claim at the 0.01 significance level.
Transcribed Image Text:Activity 5: Tell me the Tail Directions: In each problem below, give the null and alternative hypotheses and identify whether it is right-tailed, left-tailed or two-tailed test. 1. A sample of 800 items produced on a new machine showed that 48 of them are defective. The factory will get rid the machine if the data indicates that the proportion of defective items is significantly more than 5%. At a significance level of 10% does the factory get rid of the machine or not? 2. A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating certain pneumonia will experience nausea. In a random sample of 250 patients, 23 experienced nausea. Perform a significance test at the 5% significance level to test this claim. 3. In a group of 375 Senior High School students, 40 were left-handed. Is this significantly different from the proportion of all Senior High School students who are left-handed, which is 12%? 4. In a random survey of 1000 households in Unlad Province, it is found that 29% of the households have at least one member with a college degree. Does this finding contradict the statement that the proportion of all such households in Unlad Province is 35 percent? Test at a -.05 significance level. 5. In a random sample of 400 electronic gadgets, 14 were found to be defective. The manufacturer wants to claim that less than 5% of all of their games are defective. Test this claim at the 0.01 significance level.
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