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Yes thank you, i caught my mistake was i was following the formula wrong. I was placing p-hate in the wrong spot, and I thought had to find the q for the p-hat and that is why i was getting it wrong. THank you.

Professor, after finishing the sample exam, i find myself sometimes making the mistake when i arrive to the p-value what table i am supposed to use if the z-table or t-table. For example in question 15, i thought i would of had to use the z-table because N is a large number, but i had to use the t-table. Is there something that can be clarified so i can understand which one to use? thanks again

I think you are asking about the critical value because you cannot use the t-table to find a p-value (not an exact one anyway).

Remember that the t-table has z-values in the last row, so we almost always use the t-table to find critical z-values. If the sample size is large, we go to the last row of the table. If the sample size is small, we only go down to the appropriate degrees of freedom.

Of course, it is possible that your alpha value will not be on the t-table if your sample size is large because only 5 alpha values can be found on the t-table. If that happens, you will use the z table.  Section 8.2 covers this with several examples.

Ok thank you so much. I understand now