DONT NEED WORK JUST ANSWER PLEASE

Part A.)

An inspector inspects large loads of potatoes to determine the proportion p in the shipment with major defects prior to making potato chips. She selects an SRS of 50 potatoes from over 2000 in the load. Only 2 of the potatoes sampled are found to have major defects.

Suppose you instead wish to test these hypotheses:

H0:=0.10

HA<0.10

What is the p-value for this test?

A.) .9835

B.) .1573

C.) .0786

D.) .9214

E.) 0

Part B.

A psychic was tested for ESP. The psychic was presented with 400 cards face down and was asked to determine if the card was one of four symbols: a cross, a star, a circle, or a square. The psychic was correct in 120 of the cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial.

How large a sample n would you need to estimate p with a margin of error of 0.01 with 95% confidence? (Use the guess 0.25 as the value of p)

A.) N=447

B.) N=7203

C.) N=9604

D.) N=30

Part C.

There was an SRS of 100 flights on a large airline (airline 1) that showed that 64 of the flights were on time. An SRS of 100 flights of another large airline (airline 2) showed that 80 of the flights were on time. Let p1and p2be the proportion of all flights that are on time for these two airlines.

Using the above data, what is the p-value if you were to test the hypotheses?

H0:p1=p2

HA:p1p2

A.) Between .10 and .05

B.) Between .05 and .01

C.) Between .01 and .001

D.) Below .001

E.) Above .05

Part D.

In a large northwestern university, an SRS of 100 entering freshmen in 1988 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1990. In 1992 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Letting p1and p2be the proportion of all entering freshmen in 1988 and 1992, who graduated in the bottom third of their high school class?

Using the above data, construct a 99% confidence interval for p1and p2.

A.) (-.029, .229)

B.) (.05, .15)

C.) .002 , .198

D.) .017 , .183

E.) .024 , .176

Part E.

In a large northwestern university, an SRS of 100 entering freshmen in 1988 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1990. In 1992 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. Letting p1and p2be the proportion of all entering freshmen in 1988 and 1992, who graduated in the bottom third of their high school class? Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 1992 has been reduced, as a result of the tougher admission standards adopted in 1990, compared to the proportion in 1988? To determine this, you test the hypotheses: H0:p1=p2 HA:p1>p2 What is the p-value of your test? A.) Between .1 and .05 B.) Between .01 and .001 C.) Below .001 D.) Between .05 and .01 E.) None of the above Part F. An SRS of 25 faculty members at a large southeastern university found that 10 felt that the university was supportive of female and minority faculty. An independent SRS of 20 female faculty found that 5 felt that the university was supportive of female and minority faculty. Let p1and p2represent the proportion of all male and female faculty at the university who felt that the university was supportive of female and minority faculty at the time of the survey. Using the above data, construct a 95% confidence interval for p1and p2. A.) -.205 , .505 B.) -.077 , .377 C.) .012 , .288 D.) -.42 , .12 E.) -.12 , .42