Question: Good evening- how would I go about solving these 2 problems? are they solved the same way? how do I find the null/alt hypothesis and

Good evening- how would I go about solving these 2 problems? are they solved the same way? how do I find the null/alt hypothesis and the p value?

we did these problems in class and it didn't really make sense

thank you

1) Your friend claims to be psychic. You are skeptical. To test this you take a stack of 100 playing cards and have your friend try to identify the suit (hearts, diamonds, clubs, or spades) for each card, without looking, of course! Your friend gets 35 of them correct.

a) What is p?

b) State the null and alternative hypotheses for your test.

b) Find the mean and standard deviation of the sampling distribution of sample proportions.

d) Find the test statistic e) Find the p-value

f) State your conclusion.

1) According to the association of American Medical Colleges, only 46% of medical school applicants were admitted to medical school in the Fall of 2011. Upon hearing this, the trustees of Striving College (an undergraduate college) expressed concern that only 77 of the 180 students in their class of 2011 who applied to medical school were admitted. The college president assured the trustees that this was just the year-to year kind of fluctuation that is to be expected and that, in fact, the school's success rate was consistent with the national average. Who is right?

a) What is p?

b) State the null and alternative hypotheses. Check the conditions

c) Find the mean and standard deviation of the sampling distribution of sample proportions.

d) Find the test statistic e) Find the p-value

f) State your conclusion.

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