Question

6 The specifications for a certain type of surveillance system state that the system will function for more than 12,000 hours with probability of at least .90. Fifty such systems were checked and eight were found to have failed before 12,000 hours. These sample results cast some doubt on the claim for the system. (a) State $H_0$ and $H_a$ and perform the appropriate test after first stating what the assumptions are for the test, if any. (b) Construct the confidence bound that corresponds to this test and comment on the results.

          6 The specifications for a certain type of surveillance system state that the system
will function for more than 12,000 hours with probability of at least .90. Fifty such
systems were checked and eight were found to have failed before 12,000 hours.
These sample results cast some doubt on the claim for the system.
(a) State $H_0$ and $H_a$ and perform the appropriate test after first stating what the
assumptions are for the test, if any.
(b) Construct the confidence bound that corresponds to this test and comment on the
results.

6 The specifications for a certain type of surveillance system state that the system
will function for more than 12,000 hours with probability of at least .90. Fifty such
systems were checked and eight were found to have failed before 12,000 hours.
These sample results cast some doubt on the claim for the system.
(a) State H0 and Ha and perform the appropriate test after first stating what the
assumptions are for the test, if any.
(b) Construct the confidence bound that corresponds to this test and comment on the
results.

Added by Luz P.

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