Suppose it was determined that the percentage of t's in the English language in the 1800s was 9%. A random sample of 1000 letters from a current newspaper contained 109 t's. Test the hypothesis that the proportion of t's has changed in modern times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used. State the null and alternative hypotheses. O A. Ho: p<0.09 HA:p> 0.09 O B. H,: p= 0.09 HA p#0.09 OC. Hg: p#0.09

MATLAB: An Introduction with Applications
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Suppose it was determined that the percentage of t's in the English language in the 1800s was 9%. A random sample of 1000 letters from a current newspaper contained 109 t's. Test the hypothesis that the proportion
of t's has changed in modern times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used.
State the null and alternative hypotheses.
O A. H,: p<0.09
H.:p> 0.09
O B. H,: p= 0.09
HA: p#0.09
OC. Hg: p#0.09
HA: p= 0.09
O D. Ho: p> 0.09
Ha: p<0.09
O E. H,: p= 0.09
HA: p> 0.09
Determine the z-test statistic.
z= (Round to two decimal places as needed.)
Find the p-value.
p-value = (Round to three decimal places as needed.)
Choose the correct conclusion.
O A. Do not reject Hg. The proportion of t's is significantly different from 0.09.
O B. Do not reject Hn. The proportion of t's is not significantly different from 0.09.
OC. Reject H. The proportion of t's is significantly different from 0.09.
O D. Reject H,. The proportion of t's is not significantly different from 0.09.
Transcribed Image Text:Suppose it was determined that the percentage of t's in the English language in the 1800s was 9%. A random sample of 1000 letters from a current newspaper contained 109 t's. Test the hypothesis that the proportion of t's has changed in modern times, using the 0.05 level of significance. Treat the newspaper as a random sample of all letters used. State the null and alternative hypotheses. O A. H,: p<0.09 H.:p> 0.09 O B. H,: p= 0.09 HA: p#0.09 OC. Hg: p#0.09 HA: p= 0.09 O D. Ho: p> 0.09 Ha: p<0.09 O E. H,: p= 0.09 HA: p> 0.09 Determine the z-test statistic. z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) Choose the correct conclusion. O A. Do not reject Hg. The proportion of t's is significantly different from 0.09. O B. Do not reject Hn. The proportion of t's is not significantly different from 0.09. OC. Reject H. The proportion of t's is significantly different from 0.09. O D. Reject H,. The proportion of t's is not significantly different from 0.09.
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