Question

We would like to conduct a hypothesis test of ( mathrm{H}_{0}: mu=50 ) vs. ( mathrm{H}_{mathrm{a}}: mu eq 50 ) for the mean ( mu ) of some normally distributed variable ( X ). A random sample of 25 observations is taken from the population. A ( 90 % ) confidence interval for ( mu ) is calculated to be ( (44.46,49.58) ). A ( 96 % ) confidence interval for ( mu ) is calculated to be ( (43.82,50.22) ). The P-value of the appropriate test of significance must be: (A) less than 0.04 . (B) greater than 0.10 . (C) between 0.02 and 0.05 . (D) between 0.04 and 0.10 . (E) equal to 0.06 .

          We would like to conduct a hypothesis test of ( mathrm{H}_{0}: mu=50 ) vs. ( mathrm{H}_{mathrm{a}}: mu 
eq 50 ) for the mean ( mu ) of some normally distributed variable ( X ). A random sample of 25 observations is taken from the population. A ( 90 % ) confidence interval for ( mu ) is calculated to be ( (44.46,49.58) ). A ( 96 % ) confidence interval for ( mu ) is calculated to be ( (43.82,50.22) ). The P-value of the appropriate test of significance must be:
(A) less than 0.04 .
(B) greater than 0.10 .
(C) between 0.02 and 0.05 .
(D) between 0.04 and 0.10 .
(E) equal to 0.06 .

We would like to conduct a hypothesis test of ( mathrmH0: mu=50 ) vs. ( mathrmHmathrma: mu
eq 50 ) for the mean ( mu ) of some normally distributed variable ( X ). A random sample of 25 observations is taken from the population. A ( 90 % ) confidence interval for ( mu ) is calculated to be ( (44.46,49.58) ). A ( 96 % ) confidence interval for ( mu ) is calculated to be ( (43.82,50.22) ). The P-value of the appropriate test of significance must be:
(A) less than 0.04 .
(B) greater than 0.10 .
(C) between 0.02 and 0.05 .
(D) between 0.04 and 0.10 .
(E) equal to 0.06 .

Added by Latoya J.

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