A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offspring resulting from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 58 plants had red petals.
a. What hypothesis should you use to test the geneticist's claim?
b. Calculate the test statistic and its p-value. Use the p-value to evaluate the statistical significance of the results at the 1% level.