A sample of 51 observations has a mean of 98 and a standard deviation of 7. A second sample of 69 observations has a mean of 95 and a standard deviation of 8 Conduct a z-test of hypothesis using a...

A sample of 51 observations has a mean of 98 and a standard deviation of 7. A second sample of 69 observations has a mean of 95 and a standard deviation of 8 Conduct a z-test of hypothesis using a 0.05 significance level. H0: Pi 1/2 Nil $ P2
a) What type of test is this? A one-tailed test A two-tailed test. None of the above.
b) What is the correct decision rule? Reject Ho in favour of H1 if the computed value of the statistic is less than -1.96 or greater than 1.96. Reject H0 in favour of H1 if the computed value of the statistic is between -1.96 and 1.96. Reject Ho in favour of H1 lithe computed value of the statistic Is less than 1.96. Reject Ho in favour of H1 if the computed value of the statistic is greater than 1.96. Reject Ho in favour of H1 if the computed value of the statistic is less than -1.64 or greater than 1.64. Reject Ho in favour of H1 If the computed value of the statistic Is between -1.64 and 1.64. None of the above.
e) Compute the value of the test statisfic. For full marks your answer should be accurate to at least two decimal places. Test statistic: 0
d) What is your decision regarding Ho? There is sufficient evidence. at the given significance level, to reject Ho. and accept H,. There is insufficient evidence, at the given significance level. to reject Ho. There is insufficient evidence to reject or not reject the null hypothesis.
a) Calculate the p-value. For full marks your answer should be accurate to at least four decimal places. P-value: 0
May 14, 2022
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