Gallup's most recent survey about Americans' attitudes on COVID-19, conducted Sept. 14-27, finds 47% of U.S. adults saying they are either very worried or somewhat worried about contracting the coronavirus. Statisticians believe that with the new spikes in cases, that Americans' concerns have increased since then. They conducted a random sample of 1,346 American adults and found that 50% stated that they are either very worried or somewhat worried about contracting coronavirus. Test the claim at a 0.02 level of significance. What should the statisticians conclude?

GeoGebra Probability Calculator(Links to an external site.)

Step 1:State theclaimand its opposite. Identify which is thenull hypothesisand which is thealternative hypothesis.

Step 2:Determinewhich hypothesis testyou will use andcheck conditions.

Step 3:If the conditions are met, perform thecalculations,andconduct the test.Include thetest statisticand theP-value.

Step 4:State the result andinterpretyour result in thecontextof the problem.

Upload an image of your GeoGebra work to illustrate all the steps need for this problem.

Bonus points (4 points):How would our conclusion change if we tested the claim at a 0.01 level of significance, and how does that relate to Type I and Type II errors?