State whether the following statements are True or False. ( 6 marks , 1 Mark Eac

ID: 3312043 • Letter: S

Question

State whether the following statements are True or False. (6 marks, 1 Mark Each)

1) A type I error is the mistake of rejecting the null hypothesis when it is actually true.

2) The null hypothesis is rejected if the P-value 0.05.

3) Two samples are dependent if the sample values are matched pairs.

4) In case of hypothesis testing for a sample, the t statistic is used if is not known and sample size n is greater than 30.

5)A claim that two population proportions are equal, each of the two samples must satisfy the requirement that and .

6)The Student t distribution and the normal distribution are symmetric.

1) True ( This is the correct definition of type l error.)

2) The null hypothesis is rejected if the p-value is less than alpha = 0.05 level of significance. Then these statements is True.

3) True.

4) False ( t statistic is used if sigma is unknown and n <30)

5) A claim that two population proportions are equal, each of two sample must satisfy the following requirement that and is

np >= 5 or n(1-p) <= 5. And then these statements is True.

6) False ( when sigma is unknown and n<30 then t distribution used. And when sigma is known and n>30 then normal distribution used.)

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