An automobile manufacturer stated that it will be willing to mass ...

[kfurse]

An automobile manufacturer stated that it will be willing to mass produce electric-powered cars if more than 30 of potential buyers indicate they will purchase the newly designed electric cars. In a sample of 500 potential buyers, 160 indicated that they would buy such a product.
 a. State the hypotheses for this problem
  b. Compute the standard error of p.
  c. Compute the test statistic.
  d. At 95 confidence, what is your conclusion? Should the manufacturer produce the new electric powered car?

Question 2

In the last presidential election, a national survey company claimed that no more than 50 (i.e., < 50) of all registered voters voted for the Republican candidate. In a random sample of 400 registered voters, 208 voted for the Republican candidate.
 a. State the null and the alternative hypotheses.
  b. Compute the test statistic.
  c. At 95 confidence, compute the p-value and test the hypotheses.

[momtoalll]

Answer to Question 1

a. H0: P  0.3
Ha: P > 0.3
b. 0.0205
c. Z = 0.98
d. p-value = 0.1635 <0.05; do not reject H0; no, the manufacturer should not produce the cars.

Answer to Question 2

a. H0: P  0.5
Ha: P > 0.5
b. Z = 0.8
c. p-value = 0.2119 > 0.05; do not reject H0.

[kfurse]

Great answer, keep it coming

[sultana.d]

Excellent