SCROLL DOWN ( ONLY NEED HELP ON QUESTIONS BELOW ix) information from questions prior to that could be needed

Before we sign a contract to purchase the apples produced by King's Apple Orchard, we want to study the proportion of apples produced there with insect bites.

1. (11 points) To construct a 90% confidence interval for the proportion of apples with insect bites, we need to survey a random sample of apples. If the margin of error must be kept within 3%, what should be the minimum size of the sample we should survey?

n = 722

1. (13 points) We actually surveyed a random sample of 1000 apples. Among these apples, 43 with insect bites. Construct a 90% confidence interval for the proportion of all apples there with insect bites.

Confidence interval: (0.0324, 0.0536)

Margin of error: 0.0106

Interpretation: At 90% confidence rate, the population proportion falls between 0.0324 and 0.0536 with a margin of error of 0.0106

Which of the calculator procedures have you used?

ZInterval TInterval 1-PropZInt

1. (22 points) An agricultural expert claims that the proportion of apples with insect bite from King's Apple Orchard is 5%. We believe that the claim is not accurate. Is the sample evidence from (b) strong enough, at 0.1 level of significance to reject the agricultural expert's claim?

H0: 0.05 Ha: u < 0.05

1. Alpha = 0.01

ix) Find critical value, rejection region, and the standardized test statistic OR p-value of the test.

Conclusion:

Interpretation: At 10% level of significance the agricultural expert's claim that the proportion of insect bite apples from King's Apple Orchard is 5% should

be rejected; not be rejected; be supported; not be supported

1. Which of the calculator procedures you have used?

Z-Test T-Test 1-PropZTest