A school principal claims that 40% of the students of the school are dissatisfied by the community canteen service. Test the claim by using a sample data obtained from a survey of 600 students of the school while 45% indicated their dissatisfaction of the community canteen service. Use α=0.05. a. The null hypothesis is p≤0.40 p>0.40 p<0.40 p=0.40 b. The alternative hypothesis is p=0.40 p<0.40 p≠0.40

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A school principal claims that 40% of the students of the school are dissatisfied by the community canteen service. Test the claim by using a sample data obtained from a survey of 600 students of the school while 45% indicated their dissatisfaction of the community canteen service. Use α=0.05.

a. The null hypothesis is
p≤0.40
p>0.40
p<0.40
p=0.40

b. The alternative hypothesis is
p=0.40
p<0.40
p≠0.40
p>0.40

c. The value of the test statistic is
2.46
-2.46
2.48
-2.48

d. The p-value is
0.0078
0.0039
0.5000
none of these

e. The Decision is
Reject the null hypothesis. There is no significant difference between the sample mean and the population mean.
Reject the null hypothesis. There is a significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is no significant difference between the sample mean and the population mean.
Accept the null hypothesis.There is a significant difference between the sample mean and the population mean.

f. The kind of test is
one-tailed
two tailed

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