Hi can you please answer the multiple choice questions relating to the information in the first picture, no working out is required. Thanks :)

If we were to test the hypotheses in Q36, which of the following is an assumption that we would need to make? Oa. The data follows an F distribution Ob. n is small Oc. The data is normally distributed d. Whether one customer can identify organic fruit is independent on other customers being able to identify organic fruitAssuming Ho is true, what distribution would we use to calculate critical values and/or p-values relating to testing the hypotheses in Q36? a. Bin(250,0.4) Ob. N(0, 1) c. tn Od. F147, 250If we wished to estimate with 95% confidence the proportion of customers who could identify organic fruit to within an accuracy of 0.05, what is the minimum sample size we should use? a. 385 Ob. 139 Oc. 1068 Od. 373If we found that p=0.004 in the 1-tailed hypothesis test, what would the appropriate p-value be if we changed to the 2-tailed case? a. 0.002 b. we can't be sure O c. 0.004 Od. 0.008Return again to our hypotheses in Q36. Remember that 147 out of 250 correctly identified the organic fruit. What is the value of the test statistic? a. -2.83 Ob. 2.78 Oc. 2.83 O d. 5.57Return again to our hypotheses in Q36. Remember that 147 out of 250 correctly identified the organic fruit. What is the 99% confidence interval for p? a. (0.516, 0.660) Ob. (0.508, 0.668) Oc. (0.527, 0.649) Od. (0.526, 0.650)Suppose a different sample was taken, where n = 500 and 294 people correctly identified the organically grown fruit. Then a 99% confidence interval for p was calculated using just this new sample. How would the width of the new confidence interval compare to the width of the confidence interval in Q42? a. New confidence interval would have greater width. Ob. Both would have the same width. Oc. Not enough information to tell. Od. New confidence interval would have smaller width.Assume the p-value for the test in Q36 was correctly calculated at 0.02 and so Bob reasons that since p0.5 "/j'b'Ho: p